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G* Modules

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

Throughout the rest of this monograph we will use a restricted version of the Einstein summation convention: A summation is implied whenever a repeated Latin letter occurs as a superscript and a subscript, but not if the repeated index is a Greek letter. So, for example, if g is a Lie algebra, and we have fixed a basis, ξ 1,...,ξ n we have $$\left[ {{\xi _i},{\xi _j}} \right] = c_{ij}^k{\xi _k}$$ where the $$c_{ij}^k$$ are called the structure constants of g relative to our chosen basis.

Suggested Citation

  • Victor W. Guillemin & Shlomo Sternberg & Jochen Brüning, 1999. "G* Modules," Springer Books, in: Supersymmetry and Equivariant de Rham Theory, chapter 0, pages 9-32, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-03992-2_2
    DOI: 10.1007/978-3-662-03992-2_2
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