Representations of finite groups of Lie type:
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 fu...
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| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2020
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| Ausgabe: | Second edition. |
| Schriftenreihe: | London mathematical society student texts
95 |
| Links: | https://doi.org/10.1017/9781108673655 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (vii, 258 Seiten) |
| ISBN: | 9781108673655 |
Internformat
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| 245 | 1 | 0 | |a Representations of finite groups of Lie type |c François Digne, Jean Michel |
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| 520 | |a 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. | ||
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| series2 | London mathematical society student texts |
| spelling | Digne, François Representations of finite groups of Lie type François Digne, Jean Michel Second edition. Cambridge Cambridge University Press 2020 1 Online-Ressource (vii, 258 Seiten) txt c cr London mathematical society student texts 95 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. Michel, Jean Erscheint auch als Druck-Ausgabe 9781108481489 Erscheint auch als Druck-Ausgabe 9781108722629 |
| spellingShingle | Digne, François Representations of finite groups of Lie type |
| title | Representations of finite groups of Lie type |
| title_auth | Representations of finite groups of Lie type |
| title_exact_search | Representations of finite groups of Lie type |
| title_full | Representations of finite groups of Lie type François Digne, Jean Michel |
| title_fullStr | Representations of finite groups of Lie type François Digne, Jean Michel |
| title_full_unstemmed | Representations of finite groups of Lie type François Digne, Jean Michel |
| title_short | Representations of finite groups of Lie type |
| title_sort | representations of finite groups of lie type |
| work_keys_str_mv | AT dignefrancois representationsoffinitegroupsoflietype AT micheljean representationsoffinitegroupsoflietype |