:''The term "Weil algebra" is also sometimes used to mean a finite-dimensional real local Artinian ring''. {{Distinguish | Weyl algebra}} In mathematics, the '''Weil algebra''' of a Lie algebra ''g'', introduced by {{harvs|txt|last=Cartan|authorlink=Henri Cartan|year=1951}} based on unpublished work of André Weil, is a differential graded algebra given by the Koszul algebra Λ(''g''*)⊗''S''(''g''*) of its dual ''g''*.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==
*{{Citation | last1=Cartan | first1=Henri | title=Colloque de topologie (espaces fibrés), Bruxelles, 1950 | publisher=Georges Thone, Liège |mr=0042426 | year=1951 | chapter=Notions d'algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie | pages=15–27}} Reprinted in {{harv|Guillemin|Sternberg|1999}} *{{Citation | last1=Guillemin | first1=Victor W. | last2=Sternberg | first2=Shlomo | author2-link=Shlomo Sternberg | title=Supersymmetry and equivariant de Rham theory | publisher=Springer-Verlag | location=Berlin, New York | series=Mathematics Past and Present | isbn=978-3-540-64797-3 |mr=1689252 | year=1999}}
Category:Lie algebras {{Algebra-stub}}