Weil algebra
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Revision as of 05:57, 26 December 2020 by imported>John Stpola (fixing)
- The term "Weil algebra" is also sometimes used to mean a finite-dimensional real local Artinian ring.
In mathematics, the Weil algebra of a Lie algebra g, introduced by Cartan (1951) based on unpublished work of André Weil, is a differential graded algebra given by the Koszul algebra Λ(g*)⊗S(g*) of its dual g*.
References
- Cartan, Henri (1951), "Notions d'algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie", Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège, pp. 15–27 Reprinted in (Guillemin Sternberg)
- Guillemin, Victor W.; Sternberg, Shlomo (1999), Supersymmetry and equivariant de Rham theory, Mathematics Past and Present, Berlin, New York: Springer-Verlag, ISBN 978-3-540-64797-3
![]() | Original source: https://en.wikipedia.org/wiki/Weil algebra.
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