The Weil Algebra

Victor W. Guillemin, Shlomo Sternberg and Jochen Brüning
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Victor W. Guillemin: Massachusetts Institute of Technology, Department of Mathematics
Shlomo Sternberg: Harvard University, Department of Mathematics
Jochen Brüning: Humboldt-Universität Berlin, Institut für Mathematik Mathematisch-Naturwissenschaftliche Fakultät II

Chapter Chapter 3 in Supersymmetry and Equivariant de Rham Theory, 1999, pp 33-40 from Springer

Abstract: Abstract Let V be an n-dimensional vector space, and let ⋀ = ⋀(V) be the exterior algebra of V considered as a commutative superalgebra, and let S = S(V) be the symmetric algebra considered as an algebra all of whose elements are even. So we assign to each element of ⋀V its exterior degree, but each element of S k (V) is assigned the degree 2k. The Koszul algebra is the tensor product ⋀ ⊗S.

Keywords: Bianchi Identity; Exterior Algebra; Koszul Complex; Bibliographical Note; Weil Algebra (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-3-662-03992-2_3

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