Lie Algebras with Triangular Decompositions / Edition 1

Lie Algebras with Triangular Decompositions / Edition 1

ISBN-10:
0471633046
ISBN-13:
9780471633044
Pub. Date:
04/17/1995
Publisher:
Wiley

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Overview

Lie Algebras with Triangular Decompositions / Edition 1

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.

Product Details

ISBN-13: 9780471633044
Publisher: Wiley
Publication date: 04/17/1995
Series: Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts Series , #10
Pages: 712
Product dimensions: 6.46(w) x 9.53(h) x 1.38(d)

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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