G* Modules

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 2 in Supersymmetry and Equivariant de Rham Theory, 1999, pp 9-32 from Springer

Abstract: 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.

Keywords: Algebra Homomorphism; Connection Form; Equivariant Cohomology; Bibliographical Note; Einstein Summation Convention (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-3-662-03992-2_2

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