The character theory of finite groups of Lie type: a guided tour
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics an...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2020
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
187 |
| Links: | https://doi.org/10.1017/9781108779081 |
| Zusammenfassung: | Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers. |
| Umfang: | 1 Online-Ressource (ix, 394 Seiten) |
| ISBN: | 9781108779081 |
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| spelling | Geck, Meinolf The character theory of finite groups of Lie type a guided tour Meinolf Geck, Gunter Malle Cambridge Cambridge University Press 2020 1 Online-Ressource (ix, 394 Seiten) txt c cr Cambridge studies in advanced mathematics 187 Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers. Malle, Gunter Erscheint auch als Druck-Ausgabe 9781108489621 |
| spellingShingle | Geck, Meinolf The character theory of finite groups of Lie type a guided tour |
| title | The character theory of finite groups of Lie type a guided tour |
| title_auth | The character theory of finite groups of Lie type a guided tour |
| title_exact_search | The character theory of finite groups of Lie type a guided tour |
| title_full | The character theory of finite groups of Lie type a guided tour Meinolf Geck, Gunter Malle |
| title_fullStr | The character theory of finite groups of Lie type a guided tour Meinolf Geck, Gunter Malle |
| title_full_unstemmed | The character theory of finite groups of Lie type a guided tour Meinolf Geck, Gunter Malle |
| title_short | The character theory of finite groups of Lie type |
| title_sort | character theory of finite groups of lie type a guided tour |
| title_sub | a guided tour |
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