Advertisement

G* Modules

  • Victor W. Guillemin
  • Shlomo Sternberg
  • Jochen Brüning
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Victor W. Guillemin
    • 1
  • Shlomo Sternberg
    • 2
  • Jochen Brüning
    • 3
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of MathematicsHarvard UniversityCambridgeUSA
  3. 3.Institut für Mathematik Mathematisch-Naturwissenschaftliche Fakultät IIHumboldt-Universität BerlinBerlinGermany

Personalised recommendations