Searching: "Poisson algebra"

1. Poisson algebra [100%] (Computing) [Symplectic geometry] [Algebras] One can then show that the Lie bracket can be consistently ...

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1. List of algebras [100%] (Computing) [Mathematics-related lists] [Algebras] ... algebra Algebra for a monad Albert algebra ... nonassociative algebras. An algebra is a module, ... Pre-Lie algebra Poisson algebra Process ...
2. Poisson supermanifold [95%] (Computing) [Symplectic geometry] ... supercommutative algebra of smooth functions over ... Poisson supermanifold is a differential ... Poisson manifold Poisson algebra ...
3. Poisson ring [83%] (Computing) [Symplectic geometry] [Ring theory] ... In mathematics, a Poisson ring is a ... }[/math] in the ring. A Poisson algebra ... Poisson algebra of functions on a symplectic ...
4. Algebras [79%] (Category) [Representation theory] [Algebraic structures] ... category, out of 70 total. Algebra over ... category is Algebra over a field. It also ... decomposition Poisson algebra Pseudo-ring Q ...
5. Poisson algebra [78%] (Computing) [Symplectic geometry] [Algebras] ... References Definition A Poisson algebra is a ... Manifolds with a Poisson algebra ... In mathematics, a Poisson algebra is an ...
6. Poisson superalgebra [75%] (Computing) [Symplectic geometry] [Super linear algebra] ... }[/math] A supercommutative Poisson algebra is ... generalization of a Poisson algebra In mathematics, a Poisson superalgebra is a Z2-graded ...
7. Poisson–Lie group [67%] (Computing) [Structures on manifolds] [Symplectic geometry] [Lie groups] ... quantization of the Poisson algebra of ... quantizations of the Poisson algebra of ... being compatible with the Poisson algebra ...
8. Super linear algebra [66%] (Category) [Linear algebra] [Supersymmetry] ... computations using computers. Super linear algebra is a generalization of linear algebra ... articles in the Super linear algebra ...
9. Gerstenhaber algebra [60%] (Physics) [Symplectic geometry] [Theoretical physics] [Algebras] ... the De Donder–Weyl theory as the algebra ... physics, a Gerstenhaber algebra (sometimes called an antibracket algebra or braid ...
10. Poisson manifold [54%] (Computing) [Structures on manifolds] [Smooth manifolds] [Symplectic geometry] ... poisson manifold is a smooth manifold ... poisson algebra on [math]\displaystyle{ ...
11. Argument shift method [51%] (Computing) [Lie algebras] ... that the Poisson algebra of a finite-dimensional semisimple Lie algebra ...
12. Batalin–Vilkovisky formalism [49%] (Physics) [Theoretical physics] [Symplectic geometry] [Supersymmetry] ... a Lie algebra (i.e., the role of Lie algebra structure constants are played by ...
13. Symplectic geometry [48%] (Category) [Differential topology] [Differential geometry] ... mechanics Physics:Gerstenhaber algebra ... formulation Poisson algebra ...
14. Kontsevich quantization formula [44%] (Physics) [Mathematical quantization] ... algebra Given a Poisson algebra (A, {⋅, ... Poisson algebra 2 Kontsevich graphs 2.1 ...
15. Poisson bracket [43%] (Physics) [Concepts in physics] [Hamiltonian mechanics] [Symplectic geometry] ... algebra of a Lie algebra forms a Poisson ... algebra of functions on a Poisson manifold ...
16. List of mathematical topics in classical mechanics [40%] (Computing) [Mathematics-related lists] ... Poisson bracket Poisson algebra Poisson manifold Antibracket algebra Hamiltonian ...
17. Commutant-associative algebra [40%] (Computing) [Non-associative algebras] ... commutant-associative algebra is a nonassociative algebra over a field whose multiplication ...
18. Lie bialgebroid [40%] (Computing) [Symplectic geometry] ... Infinitesimal version of a Poisson groupoid 3.1 Definition of Poisson groupoid ...
19. Lie bialgebra [39%] (Computing) [Symplectic geometry] [Lie algebras] ... algebras, and are the Lie algebra of a ... a set with a Lie algebra and a Lie ...
20. Glossary of symplectic geometry [37%] (Computing) [Glossaries of mathematics] [Symplectic geometry] ... trick N Novikov Novikov ring P Poisson 1. ... Hamiltonian geometry, Poisson geometry and ...
21. Zhu algebra [37%] (Computing) [Algebraic geometry] [Algebras] ... algebra In the theory of vertex algebras, the Zhu algebra and the closely ...
22. Classical Gaudin model [36%] (Physics) [Classical mechanics] ... that is, a Lie algebra with a ... by a Poisson manifold ...
23. Ring theory [35%] (Category) ... Algebra (ring theory) Algebra extension Algebra homomorphism Almost commutative ...
24. List of Lie groups topics [35%] (Computing) [Lie algebras] [Lie groups] [Mathematics-related lists] ... Kac–Moody algebra Affine Lie algebra Loop ... enveloping algebra Baker-Campbell-Hausdorff ...
25. Group contraction [35%] (Computing) [Mathematical physics] [Lie groups] [Lie algebras] ... example, the Lie algebra of the 3D ... algebra in a nontrivial singular manner, ...
26. Valya algebra [35%] (Computing) [Lie algebras] [Non-associative algebras] ... algebra M over a field F whose ... In abstract algebra, a Valya algebra ...
27. Poisson kernel [34%] (Computing) [Potential theory] [Harmonic functions] [Fourier analysis] ... Siméon Poisson. Poisson kernels commonly ... potential theory, the Poisson kernel is an ...
28. Universal enveloping algebra [33%] (Computing) [Representation theory of Lie algebras] [Hopf algebras] [Ring theory] ... algebra; the poisson algebra is ... modding out the poisson algebra structure. ...
29. Associative algebra [33%] (Computing) [Algebraic geometry] [Algebras] ... Associative algebra • Graded ring • Involutive ... Poisson algebra [math]\displaystyle{ \mathfrak ...
30. Weil–Brezin Map [33%] (Computing) [Representation theory] [Harmonic analysis] ... the Plancherel theorem. Poisson ... Poisson summation formula . The image of ...
31. Moyal product [33%] (Computing) [Mathematical physics] [Mathematical quantization] ... Poisson bracket, called Moyal bracket. ... }[/math], equipped with its Poisson bracket ...
32. Lie algebra [32%] (Computing) [Lie algebras] [Lie groups] ... point symmetry simple lie algebra semisimple lie algebra dynkin diagrams cartan ...
33. Wigner–Weyl transform [31%] (Physics) [Concepts in physics] [Foundational quantum physics] [Mathematical physics] ... commutative algebra of observables to a ... possible to mapping the Poisson bracket on ...
34. Leibniz algebra [30%] (Computing) [Non-associative algebras] [Lie algebras] ... Lie algebra is obviously a Leibniz ... the Leibniz algebra is a Lie algebra. ...
35. Lie's third theorem [30%] (Computing) [Lie groups] [Lie algebras] ... algebra correspondence .Historically, the ... finite-dimensional Lie algebra over the real ...
36. Hamiltonian vector field [29%] (Physics) [Symplectic geometry] [Hamiltonian mechanics] ... the Hamiltonian given by the Poisson ... Poisson manifold. The Lie bracket of two ...
37. Non-associative algebra [29%] (Computing) [Non-associative algebras] ... algebra • Graded ring • Involutive ring ... Short description: Algebra over a field ...
38. Garnier integrable system [28%] (Physics) [Classical mechanics] ... a Lie algebra with a non-degenerate ... a Poisson manifold [math]\displaystyle{ ...
39. List of Fourier analysis topics [28%] (Computing) [Outlines] [Outlines of mathematics and logic] [Fourier analysis] ... Poisson summation formula Spectrum ... Fourier analysis 2 Algebra and analysis ...
40. Harmonic analysis [28%] (Category) [Representation theory] ... cubes F Fourier algebra Fourier integral operator G Gelfand pair Group algebra ...
41. First class constraint [26%] (Physics) [Theoretical physics] [Classical mechanics] ... constraints. Contents 1 Poisson brackets 2 ... system whose Poisson bracket with all the ...
42. Schouten–Nijenhuis bracket [26%] (Computing) [Differential geometry] ... section of the exterior algebra ∧ ∗ T M ... the same as the Poisson bracket on the ...
43. Moyal bracket [26%] (Computing) [Symplectic geometry] [Mathematical quantization] ... Poisson bracket Lie algebra. Up to ... phase-space Poisson bracket (essentially an ...
44. R-algebroid [25%] (Computing) [Lie algebras] [Category theory] [Algebraic topology] ... }[/math]. Examples Every Lie algebra is ... 'a Lie algebra with many objects '). ...
45. Quantization [25%] (Physics) [Mathematical physics] [Mathematical quantization] [Quantum field theory] ... algebra is converted into a Poisson algebra by introducing a Poisson bracket ...
46. Lie algebra representation [25%] (Computing) [Representation theory of Lie algebras] ... Complexification Split Lie algebra Compact Lie algebra ... Simple Lie algebra Semisimple Lie algebra ...
47. Statistical randomness [25%] (Category) [Probability theory] [Statistical theory] [Randomness] ... Poisson random measure Proofs of convergence ... precision‎ (12 P) Algebra of random ...
48. Articles with unsourced statements from April 2012 [25%] (Category) ... Relation algebra S Shadow and highlight ... coefficient Phase congruency Poisson ...
49. Nambu mechanics [25%] (Computing) [Theoretical physics] [Mathematical physics] [Hamiltonian mechanics] ... Hamiltonian over a Poisson manifold. In ... Poisson manifold Poisson algebra Integrable ...
50. Outline of probability [24%] (Computing) [Statistics-related lists] [Probability] [Outlines] ... independence Conditional event algebra ... theorems in the algebra of sets) Events ...
51. Fourier analysis [23%] (Category) [Harmonic analysis] ... Planar Fourier capture array Poisson ... Banach algebra Basis function Beevers–Lipson ...
52. Math [23%] (HandWiki) ... processes Poisson distribution Poisson ... 3.3 Theories 3.4 Algebra 3.5 Statistics ...
53. Glossary of Lie algebras [22%] (Computing) [Lie algebras] [Glossaries of mathematics] ... Semisimple Lie algebra 4 Root System (for ... E8 248 Miscellaneous Poisson algebra ...
54. De Donder–Weyl theory [22%] (Computing) [Mathematical physics] [Calculus of variations] ... generalized Poisson brackets satisfying ... generalization of the Poisson brackets to the De ...
55. SLATEC [22%] (Software) [Numerical software] [Fortran libraries] ... linear algebra package XERROR 17 no error ... basic linear algebra DASSL 16 no solve ...
56. Articles with unsourced statements from March 2019 [22%] (Category) ... Proprietary device driver R Relation algebra ... of periodic functions Pixlet Poisson ...
57. Point process [22%] (Computing) [Spatial processes] [Point processes] [Statistical data types] ... the minimal algebra so that all ... processes 2.1 poisson point process 2.2 ...
58. Heisenberg group [20%] (Computing) [Mathematical physics] [Mathematical quantization] [Lie groups] ... heisenberg algebra 2.1 in conformal field ... the poisson bracket. this lie algebra is a ...
59. Geometric quantization [20%] (Computing) [Mathematical quantization] [Functional analysis] ... exactly transforms Poisson brackets on the ... Half-form correction 2.4 Poisson manifolds 3 ...
60. Hopf algebroid [20%] (Computing) [Hopf algebras] ... groupoids in Poisson geometry (later shown ... noncommutative base algebra was introduced by J.-H. ...
61. Glossary of areas of mathematics [20%] (Computing) [Glossaries of mathematics] [Fields of mathematics] ... parallel postulate.[2] abstract algebra the part of algebra devoted to the study of ...
62. Marius Crainic [20%] (Biography) [21st-century mathematicians] ... His specialty is Poisson ... Lichnerowicz Prize in Poisson Geometry[4][5] ...
63. Laplace–Runge–Lenz vector [20%] (Physics) [Mathematical physics] [Articles containing proofs] [Vectors (mathematics and physics)] ... of poisson brackets, as described below. ... algebra under the poisson bracket. this ...
64. Manin matrix [20%] (Computing) [Matrices] [Matrix theory] ... endomorphisms" of polynomial algebra ... and most linear algebra theorems like ...
65. Symplectomorphism [20%] (Computing) [Hamiltonian mechanics] [Symplectic topology] ... pseudogroup. The corresponding Lie algebra ... algebra of symplectic vector fields. The ...
66. Functional analysis [20%] (Category) [Functions and mappings] ... measure Direct integral Dirichlet algebra ... Colombeau algebra Commutative property Compact ...
67. Lie algebroid [19%] (Computing) [Vector bundles] [Geometry processing] [Generalizations of the derivative] ... lie algebra bundle the image ... lie algebra at [math]\displaystyle{ x ...
68. Lie algebra extension [19%] (Physics) [String theory] [Conformal field theory] [Mathematical physics] ... symmetry simple lie algebra semisimple ... lie algebra from a smaller one, in one ...
69. Method of quantum characteristics [19%] (Computing) [Partial differential equations] ... Poisson bracket of two functions can be ... These variables satisfy the Poisson bracket ...
70. BCMP network [19%] (Computing) [Queueing theory] ... form". Linear Algebra and Its Applications ... i (if any) form a Poisson process, a ...
71. Progressively measurable process [19%] (Computing) [Measure theory] [Stochastic processes] ... sigma algebra on [math]\displaystyle{ ... filtration of the sigma algebra ...
72. Weakly chained diagonally dominant matrix [19%] (Computing) [Matrices] ... Poisson problem takes the form of ... one-dimensional Poisson problem [math]\displaystyle{ ...
73. Hochschild homology [19%] (Computing) [Homological algebra] [Ring theory] ... enveloping algebra of A, so in particular ... A-bimodule. The enveloping algebra of A is ...
74. Alexandre Mikhailovich Vinogradov [19%] (Biography) [Algebraic geometers] [Topologists] [Mathematical physicists] ... bracket on a differential Leibniz algebra ... algebra of linear transformations of a ...
75. Hamiltonian mechanics [19%] (Physics) [Mathematical physics] [Dynamical systems] [Classical mechanics] ... sub-riemannian manifolds 6.4 poisson algebras 6.5 ... geometry and poisson structures) and serves as ...
76. Jacobi identity [19%] (Computing) [Non-associative algebra] [Mathematical identities] [Lie algebras] ... informative example of a Lie algebra is ... satisfied by the Poisson brackets. In quantum ...
77. List of equations [19%] (Computing) [Differential equations] ... screened Poisson equation Schwinger–Dyson ... in the algebra of physical space ...
78. Hitchin system [19%] (Computing) [Differential geometry] [Lie groups] [Integrable systems] ... a proof of Poisson commutativity of ... algebra of G. For trivial reasons these ...
79. NASU Institute of Mathematics [19%] (Organization) [Mathematical institutes] ... Algebra Analytical mechanics Applied ... Poisson approximation for stochastic ...
80. Noncommutative geometry [19%] (Computing) [Quantum gravity] [Mathematical quantization] [Noncommutative geometry] ... noncommutative algebra of functions. An approach ... algebra is an associative algebra in ...
81. André Lichnerowicz [18%] (Biography) [Differential geometers] ... progresses in Poisson geometry, a research field ... considered the founder of modern Poisson ...
82. Lie group [18%] (Computing) [Symmetry] [Manifolds] [Lie groups] ... split lie algebra compact lie algebra ... lie algebra semisimple lie algebra ...
83. Matrix representation of Maxwell's equations [18%] (Physics) [Maxwell's equations] [Electrodynamics] ... (quaternion-like) algebra of the Dirac matrices, ... mechanics and J corresponds to the Poisson ...
84. Integrable system [18%] (Physics) [Partial differential equations] [Hamiltonian mechanics] [Dynamical systems] ... functionally independent Poisson commuting ... Poisson commuting first integrals for the ...
85. Convolution power [17%] (Computing) [Fourier analysis] [Functional analysis] ... topology, of the class of Poisson measures ... logarithm are those of (generalized) Poisson ...
86. Symplectic group [17%] (Computing) [Symplectic geometry] [Lie groups] ... point symmetry Simple Lie algebra Semisimple Lie algebra Dynkin diagrams Cartan ...
87. Canonical quantization [17%] (Physics) [Mathematical quantization] [Quantum field theory] ... poisson brackets, a structure which is ... of the corresponding poisson algebra or ...
88. Jacobian conjecture [17%] (Computing) [Conjectures] [Algebraic geometry] [Polynomials] ... Journal of Algebra 65 (2): 453–494, ... the Poisson conjecture. See also List of ...
89. List of probability topics [17%] (Computing) [Statistics-related lists] [Probability] [Mathematics-related lists] ... independence Conditional event algebra ... gambling strategy) Dutch book Algebra of ...
90. Ratio distribution [16%] (Computing) [Types of probability distributions] [Statistical ratios] [Algebra of random variables] ... poisson and truncated poisson ... contents 1 algebra of random variables ...
91. Lists of mathematics topics [16%] (Computing) [Outlines] [Outlines of mathematics and logic] ... Main page: Pure mathematics Algebra ... Algebra 2.1.2 Calculus and analysis 2.1.3 ...
92. Canonical commutation relation [16%] (Physics) [Mathematical physics] [Quantum mechanics] ... commutators and Poisson brackets could not ... Poisson bracket multiplied by iℏ, ...
93. Commutator [15%] (Computing) [Mathematical identities] [Binary operations] [Group theory] ... b of a ring or associative algebra is ... algebra can be turned into a Lie algebra. ...
94. Bounded type [15%] (Computing) [Types of functions] [Special functions] [Complex analysis] ... a Poisson representation (see ... an algebra over the complex numbers and ...
95. List of convolutions of probability distributions [15%] (Computing) [Statistics-related lists] [Theory of probability distributions] ... distribution Lévy distribution Poisson ... Algebra of random variables Relationships ...
96. Chasles' theorem [15%] (Computing) [Rotation in three dimensions] [Euclidean solid geometry] [Kinematics] ... ( ), the geometric algebra of 3D ... Poisson and Rodrigues. An account of ...
97. Invariant convex cone [15%] (Computing) [Semigroup theory] [Representation theory] [Lie groups] ... algebra of a connected Lie group that is ... algebra under the Poisson bracket ...
98. Courant algebroid [15%] (Computing) [Differential geometry] ... = 0, i.e. Π is a Poisson bivector on M. ... a Lie algebra with an invariant scalar ...
99. Schuette–Nesbitt formula [15%] (Computing) [Articles containing proofs] [Theorems in statistics] [Probability theorems] ... function of the Poisson distribution with ... ring is also an algebra over the real or ...
100. Generalized complex structure [15%] (Computing) [Structures on manifolds] [Differential geometry] ... generators of the Clifford algebra are the ... representation of the action of the Clifford algebra ...
101. Kantor double [44%] (Computing) [Non-associative algebras] ... Kantor, I. L. (1990), "Connection between Poisson ... of a Poisson algebra. It is named after Isaiah Kantor ...
102. Vector calculus [27%] (Category) [Vectors (mathematics and physics)] [Multivariable calculus] ... Uniqueness theorem for Poisson's equation V Vector ... Clebsch representation Comparison of vector algebra and geometric algebra Complex lamellar vector ...
103. Lie groups [27%] (Category) [Algebraic structures] [Differential geometry] [Manifolds] ... of a Weyl group element Lie algebra Physics:Lie ... GL(n,C) Group algebra Group algebra of a locally ... ) Einstein group En (Lie algebra) Euclidean group ...
104. Minimum chi-square estimation [26%] (Computing) [Statistical hypothesis testing] [Estimation methods] ... not specify that it was that particular Poisson ... distribution is a Poisson distribution ... a Poisson distribution. [math]\displaystyle{ \begin ...
105. Garrett Birkhoff [25%] (Biography) [Fluid dynamicists] [Lattice theorists] [Algebraists] ... American teaching and research in abstract algebra ... Waerden on abstract algebra and Speiser on group ... abstract algebra under Philip Hall. While visiting ...
106. Simple point process [23%] (Computing) [Point processes] ... of point processes such as Poisson processes, Cox ... }[/math]-algebra. A point process [math ...
107. Quantum group [22%] (Computing) [Mathematical quantization] [Quantum groups] ... , deforming the algebra of functions ... universal enveloping algebras of a certain Lie algebra ... as a particular class of Hopf algebra. The same term ...
108. Dobiński's formula [21%] (Computing) [Articles containing proofs] [Poisson point processes] [Combinatorics] ... : Rota continues the proof using linear algebra, but it is enlightening to introduce a Poisson ... of the Poisson distribution with mean 1. Sometimes ...
109. Weak formulation [20%] (Computing) [Theorems in functional analysis] [Numerical differential equations] [Partial differential equations] ... ] Example 2: Poisson's equation To solve Poisson's ... : linear system of equations 3 Example 2: Poisson's ... the transfer of concepts of linear algebra to solve ...
110. Predictable process [19%] (Computing) [Stochastic processes] ... .[2] This σ-algebra is also called the predictable ... {+} }[/math], is measurable with respect to the σ-algebra ... to the σ-algebra [math]\displaystyle{ \mathcal{F ...
111. Annales de Gergonne [17%] (Computing) [Mathematics journals] ... of Pure and Applied Algebra from 1971 References ... , Plücker, Crelle, Poisson, Ampere, Chasles ...
112. Mathematical physics [17%] (Category) [Applied mathematics] [Theoretical physics] ... K-Poincaré algebra K-Poincaré group Kerner's ... Generalized Clifford algebra Physics:Goldstone boson ... :Algebra of physical space Almost Mathieu operator ...
113. Stochastic processes [17%] (Category) [Statistical randomness] ... Zero-order process (statistics) Σ Σ-Algebra of τ ... Predictable σ-algebra Pregaussian class ... Pitman–Yor process Poisson boundary Polynomial ...
114. List of scientific equations named after people [17%] (Computing) [Equations] ... C. Carman Krichever–Novikov equation Lie algebra ... Darboux Euler, Poisson, and Jean Darboux Leonhard Euler ... equation[8] Euler–Poisson–Darboux equation Euler ...
115. Stochastic process [17%] (Computing) [Statistical data types] [Stochastic models] [Stochastic processes] ... Random walk 2.3 Wiener process 2.4 Poisson process 3 ... probability, calculus, linear algebra, set theory ... ] and the Poisson process, used by A. K. Erlang to study ...