Description

Book Synopsis
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.

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.

Lie Algebras with Triangular Decompositions

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    A Hardback by Robert V. Moody, Arturo Pianzola

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      View other formats and editions of Lie Algebras with Triangular Decompositions by Robert V. Moody

      Publisher: John Wiley & Sons Inc
      Publication Date: 22/05/1995
      ISBN13: 9780471633044, 978-0471633044
      ISBN10: 0471633046
      Also in:
      Mathematics

      Description

      Book Synopsis
      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.

      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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