Lectures on Chevalley groups
著者
書誌事項
Lectures on Chevalley groups
（University lecture series, v. 66）
American Mathematical Society, c2016
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注記
Part of: Robert Steinberg, collected papers (Providence, R.I. : American Mathematical Society, 1997)
Includes bibliographical references (p. 155-157) and index
内容説明・目次
内容説明
Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967-1968 academic year. The work presents the status of the theory of Chevalley groups as it was in the mid-1960s. Much of this material was instrumental in many areas of mathematics, in particular in the theory of algebraic groups and in the subsequent classification of finite groups. This posthumous edition incorporates additions and corrections prepared by the author during his retirement, including a new introductory chapter. A bibliography and editorial notes have also been added.
目次
* Introduction* A basis for $\mathcal{L}$* A basis for $\mathcal{U}$* The Chevalley groups* Simplicity of $G$* Chevalley groups and algebraic groups* Generators and relations* Central extensions* Variants of the Bruhat lemma* The orders of the finite Chevalley groups* Isomorphisms and automorphisms* Some twisted groups* Representations* Representations continued* Representations completed* Appendix on finite reflection groups* Bibliography* Index
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