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Representations of Finite Groups of Lie Type. 2nd Revised edition.
・ISBN 978-1-108-48148-9 hard GB£ 116.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-67365-5
| 著者・編者 | Digne, Francois / Michel, Jean, |
|---|---|
| シリーズ | London Mathematical Society Student Texts |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2020 |
| ページ数 | 264 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9628＞ |
解説
On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type in book form. This second edition features new material to reflect the continuous evolution of the subject, including entirely new chapters on Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it, before moving on to a discussion of Deligne-Lusztig induction and Lusztig's Jordan decomposition theorem for characters. The book contains the background information needed to make it a useful resource for beginning graduate students in algebra as well as seasoned researchers. It includes exercises and explicit examples.