Simple groups of Lie type
著者
書誌事項
Simple groups of Lie type
（Wiley classics library）
J. Wiley, 1989
Wiley classics library ed
- : pbk
大学図書館所蔵 件 / 全43件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"A Wiley-Interscience publication"
Bibliography: p. 315-326
内容説明・目次
内容説明
Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.
目次
Partial table of contents:
The Classical Simple Groups.
Weyl Groups.
Simple Lie Algebras.
The Chevalley Groups.
Unipotent Subgroups.
The Diagonal and Monomial Subgroups.
The Bruhat Decomposition.
Polynomial Invariants of the Weyl Group.
The Exponents of the Weyl Group.
Further Properties of the Chevalley Groups.
Generators, Relations and Automorphisms in Chevalley Groups.
The Twisted Simple Groups.
Further Properties of the Twisted Groups.
Associated Geometrical Structures.
Sporadic Simple Groups.
Bibliography.
Index of Notation.
Index.
「Nielsen BookData」 より