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Kac-Moody Algebras

  • Kac-Moody Algebras
Chapter
Part of the Progress in Mathematics book series (PM, volume 204)

Abstract

The aim of this chapter is to give the definition of Kac—Moody Lie algebras and establish their most basic properties, which we will need subsequently in the book. The basic reference for this chapter as well as Chapter 2 (barring the discussion of the Shapovalov form as in Subsections 2.3.1-2.3.8) is Kac’s book [Kac-90] which exhaustively treats the algebraic theory of Kac—Moody Lie algebras and their representations.

Keywords

Bilinear Form Weyl Group Coxeter Group Casimir Operator Simple Reflection 
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.

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Copyright information

© Springer Science+Business Media New York 2002

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