Lie Algebras with Triangular Decompositions

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.