Representations of Finite Chevalley Groups

Representations of Finite Chevalley Groups PDF

Author: George Lusztig

Publisher: American Mathematical Soc.

Published: 1978

Total Pages: 58

ISBN-13: 0821816896

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Features notes that arose from a series of lectures given by the author at a CBMS Regional Conference held at Madison, Wisconsin, in August 1977. The purpose of the notes was to show how $1$-adic cohomology of algebraic varieties over fields of characteristic $p>1$ can be used to get information on the representations of finite Chevalley groups.

Robert Steinberg

Robert Steinberg PDF

Author: Robert Steinberg

Publisher: American Mathematical Soc.

Published: 2016-12-22

Total Pages: 160

ISBN-13: 147043105X

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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.

Representations of Algebraic Groups

Representations of Algebraic Groups PDF

Author: Jens Carsten Jantzen

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 594

ISBN-13: 082184377X

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Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

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