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The Weil Algebra

In: Supersymmetry and Equivariant de Rham Theory

Author

Listed:
  • 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)

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.

Suggested Citation

  • Victor W. Guillemin & Shlomo Sternberg & Jochen Brüning, 1999. "The Weil Algebra," Springer Books, in: Supersymmetry and Equivariant de Rham Theory, chapter 0, pages 33-40, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-03992-2_3
    DOI: 10.1007/978-3-662-03992-2_3
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