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Overview
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.
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.
Booknews
A text that presents a self-contained development of the algebraic theory of the Kac-Moody algebras, their representations, and their close relatives, the Virasoro and Heisenberg algebras. It concentrates on developing the theory of triangular decompositions and the part of the Kac-Moody theory not specific to the affine case. A secondary theme is the subject of lattices (discrete subgroups of Rn carrying an integral-valued symmetric bilinear form). Numerous exercises conclude each chapter. Assumes a reasonable background in linear algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)