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.
Lie Algebras Admitting Triangular Decompositions.
Lattices and Root Systems.
Contragredient Lie Algebras.
The Weyl Group and Its Geometry.
Category O for Kac-Moody Algebras.
Series: Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts
Number Of Pages: 712
Published: 17th April 1995
Country of Publication: US
Dimensions (cm): 24.2 x 16.4
Weight (kg): 1.18
Edition Number: 1