Lie algebras with triangular decompositions

書誌事項

Lie algebras with triangular decompositions

Robert V. Moody, Arturo Pianzola

(Canadian Mathematical Society series of monographs and advanced texts)

J. Wiley, c1995

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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.

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