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Representation Theory of Finite Reductive Groups.
・ISBN 978-0-521-82517-7 hard GB£ 154.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54276-3
| 著者・編者 | Cabanes, Marc / Enguehard, Michel, |
|---|---|
| シリーズ | New Mathematical Monographs |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2004 |
| ページ数 | 456 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10911＞ |
解説
At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of etale cohomology, leading to the proof of the recent Bonnafe-Rouquier theorems. The second is a straightforward and simplified account of the Dipper-James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong-Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.