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Lie Algebras with Triangular Decompositions

ISBN: 978-0-471-63304-4
712 pages
April 1995
Lie Algebras with Triangular Decompositions (0471633046) cover image

Description

Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relatives--the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac-Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite-dimensional theory, Weyl groups and conjugacy theorems.
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Table of Contents

Lie Algebras.

Lie Algebras Admitting Triangular Decompositions.

Lattices and Root Systems.

Contragredient Lie Algebras.

The Weyl Group and Its Geometry.

Category O for Kac-Moody Algebras.

Conjugacy Theorems.

Appendix.

Bibliography.

Index.
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