Lie Algebras with Triangular Decompositions

Robert V. Moody (Author), Arturo Pianzola (Author)

9780471633044, Wiley

Hardback, published 22 May 1995

712 pages
24.2 x 16.4 x 3.5 cm, 1.191 kg

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.

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.

Subject Areas: Mathematics [PB]