Lie Algebras with Triangular Decompositions

ISBN-13: 9780471633044 / Angielski / Twarda / 1995 / 712 str.

Robert V. Moody; R. V. Moody; Terry Ed. Moody

Opis

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.

Spis treści

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.