Conjugacy classes in semisimple algebraic groups

書誌事項

Conjugacy classes in semisimple algebraic groups

James E. Humphreys

(Mathematical surveys and monographs, v. 43)

American Mathematical Society, c1995

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注記

Includes bibliographical references (p. 183-193) and index

内容説明・目次

巻冊次

ISBN 9780821803332

内容説明

After the fundamental work of Borel and Chevalley in the 1950s and 1960s on the structure and classification of semisimple algebraic groups over an arbitrary algebraically closed field, further results were obtained on conjugacy classes and centralizers. "Conjugacy Classes in Semisimple Algebraic Groups" draws together results achieved by Lusztig, Richardson, Spaltenstein, Springer, Steinberg, and others. This book provides a unified exposition of work done over the past thirty years.

目次

Review of semisimple groups Basic facts about classes and centralizers Centralizers of semisimple elements The adjoint quotient Regular elements Parabolic subgroups and unipotent classes The unipotent variety and the flag variety Nilpotent orbits and unipotent classes Finite groups of Lie type Springer's Weyl group representations Complements References Index.
巻冊次

: [pbk] ISBN 9780821852767

内容説明

The book provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.

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