Lie algebras with triangular decompositions
著者
書誌事項
Lie algebras with triangular decompositions
（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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