Category:Representation theory

• ► Theorems in representation theory‎ (16 P)

A

• ► Algebras‎ (8 C, 68 P)

C

• ► Clifford algebras‎ (3 C, 20 P)

H

• ► Harmonic analysis‎ (6 C, 59 P)

I

• ► Invariant subspaces‎ (11 P)
• ► Invariant theory‎ (1 C, 59 P)

M

• ► Module theory‎ (80 P)

R

• ► Representation theory of groups‎ (4 C, 39 P)
• ► Representation theory of Lie algebras‎ (22 P)

• Glossary of representation theory (computing)
• List of representation theory topics (computing)
• Representation theory (computing)

A

• Absolutely irreducible (computing)
• Admissible representation (computing)
• Affine braid group (computing)
• Affine Hecke algebra (computing)
• Affine Lie algebra (computing)
• Algebra representation (computing)
• Algebraic representation (computing)
• Alvis–Curtis duality (computing)
• Arthur conjectures (computing)
• Arthur's conjectures (computing)
• Artin conductor (computing)
• Association scheme (organization)
• Auslander algebra (computing)
• Auslander–Reiten theory (computing)
• Automorphic Forms on GL(2) (computing)

B

• Beilinson–Bernstein localization (computing)
• Bernstein–Zelevinsky classification (computing)
• Birman–Wenzl algebra (computing)
• Borel subalgebra (computing)
• Borel–de Siebenthal theory (computing)
• Bose–Mesner algebra (computing)
• Bott cannibalistic class (computing)
• Bott–Samelson variety (computing)
• Brauer algebra (computing)
• Burau representation (computing)

C

• Cartan matrix (computing)
• Category of representations (computing)
• Cellular algebra (computing)
• Chang number (computing)
• Character (mathematics) (computing)
• Chevalley restriction theorem (computing)
• Chiral algebra (computing)
• The Classical Groups (computing)
• Clifford module (computing)
• Clifford theory (computing)
• Coherent set of characters (computing)
• Complexification (Lie group) (computing)
• Crystal base (computing)

D

• Dade isometry (computing)
• Dade's conjecture (computing)
• Deligne–Lusztig theory (computing)
• Demazure conjecture (computing)
• Demazure module (computing)
• Differential poset (computing)
• Dominance order (computing)
• Double affine braid group (computing)
• Double affine Hecke algebra (computing)

E

• Eisenstein integral (computing)
• Equivariant map (computing)
• Exceptional character (computing)

F

• Faithful representation (computing)
• Freudenthal magic square (computing)
• Frobenius formula (computing)
• Fundamental representation (computing)

G

• Garnir relations (computing)
• Gelfand–Graev representation (computing)
• Geometric Langlands correspondence (computing)
• Good filtration (computing)
• Group representation (computing)

H

• Haagerup property (computing)
• Harish-Chandra's Schwartz space (computing)
• Harish-Chandra's Ξ function (computing)
• Hecke algebra (disambiguation) (computing)
• Hecke algebra of a locally compact group (computing)
• Hecke algebra of a pair (computing)
• Herz–Schur multiplier (computing)
• Highest-weight category (computing)
• Hopf algebra (computing)
• Hurwitz's theorem (composition algebras) (computing)

I

• Invariant convex cone (computing)
• Invariant subspace (computing)
• Irreducible representation (computing)
• Itô's theorem (computing)
• Iwahori subgroup (computing)
• Iwahori–Hecke algebra (computing)

J

• Jacquet module (computing)
• Jantzen filtration (computing)
• Jucys–Murphy element (computing)

K

• Kirillov model (computing)
• Kostant partition function (computing)
• Kronecker coefficient (computing)
• Krull–Schmidt category (computing)

L

• Langlands–Deligne local constant (computing)
• Langlands–Shahidi method (computing)
• Lawrence–Krammer representation (computing)
• Littelmann path model (computing)
• Littlewood–Richardson rule (computing)
• Locally compact quantum group (computing)

M

• Maass–Selberg relations (computing)
• McKay graph (computing)
• Zoghman Mebkhout (biography)
• Minimal K-type (computing)
• Minuscule representation (computing)

N

• N = 2 superconformal algebra (computing)
• N! conjecture (computing)
• Naimark equivalence (computing)
• Nil-Coxeter algebra (computing)
• Nonlinear realization (physics)

O

• Opposite group (computing)
• Oscillator representation (computing)

P

• Parabolic induction (computing)
• Plancherel measure (computing)
• Prehomogeneous vector space (computing)
• Principal subalgebra (computing)
• Projective representation (computing)

Q

• Quantum affine algebra (computing)
• Quantum enveloping algebra (computing)
• Quaternionic discrete series representation (computing)
• Quaternionic representation (computing)
• Quiver (mathematics) (computing)

R

• Real representation (computing)
• Reductive dual pair (computing)
• Representation on coordinate rings (computing)
• Representation theory of Hopf algebras (computing)
• Restricted representation (computing)
• Riemann–Hilbert correspondence (computing)
• Ringel–Hall algebra (computing)
• Root datum (computing)

S

• Satake isomorphism (computing)
• Schubert polynomial (computing)
• Schubert variety (computing)
• Schur algebra (computing)
• Schur functor (computing)
• Schur's lemma (computing)
• Schur–Weyl duality (computing)
• Semi-invariant of a quiver (computing)
• Semi-simplicity (computing)
• Semisimple representation (computing)
• Shapiro's lemma (computing)
• Simple module (computing)
• Stable module category (computing)
• Steinberg formula (computing)
• Subrepresentation (computing)
• Symplectic representation (computing)

T

• Theorem of the highest weight (computing)
• Theta correspondence (computing)
• Θ10 (computing)
• Tilting theory (computing)
• Translation functor (computing)
• Triple system (computing)
• Trivial representation (computing)

U

• Uniformly bounded representation (computing)
• Unipotent representation (computing)

V

• Verlinde algebra (computing)
• Vertex of a representation (computing)

W

• W-algebra (computing)
• Waldspurger formula (computing)
• Weil–Brezin Map (computing)
• Weyl module (computing)
• Whittaker model (computing)
• Wild problem (computing)

Y

• Yangian (computing)
• Young's lattice (computing)

Z

• Zuckerman functor (computing)