Lie Algebras with Triangular Decompositions by Robert V. MoodyLie Algebras with Triangular Decompositions by Robert V. Moody

Lie Algebras with Triangular Decompositions

byRobert V. Moody, Arturo Pianzola

Hardcover | April 17, 1995

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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.
Title:Lie Algebras with Triangular DecompositionsFormat:HardcoverDimensions:712 pages, 9.53 × 6.46 × 1.38 inPublished:April 17, 1995Publisher:Wiley

The following ISBNs are associated with this title:

ISBN - 10:0471633046

ISBN - 13:9780471633044

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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.