Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relativesthe 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.
|Series:||Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts Series , #10|
|Product dimensions:||6.46(w) x 9.53(h) x 1.38(d)|
Table of Contents
Lie Algebras Admitting Triangular Decompositions.
Lattices and Root Systems.
Contragredient Lie Algebras.
The Weyl Group and Its Geometry.
Category O for Kac-Moody Algebras.