The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Representations of Finite Groups of Lie Type
Open accessAbstract
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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Cites
Hartshorne, R. (1977) · Graduate texts in mathematics · doi:10.1007/978-1-4757-3849-0 · Cited by 6,960
Deligne, P. (1974) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684373 · Cited by 2,395
Humphreys, J. E. (1975) · Graduate texts in mathematics · doi:10.1007/978-1-4684-9443-3 · Cited by 2,138
Borel, A. (1966) · Proceedings of Symposia in Pure Mathematics · doi:10.1090/pspum/009/0204532 · Cited by 2,122
Éléments de géométrie algébrique : I. Le langage des schémas
Grothendieck, A. (1960) · Publications mathématiques de l IHÉS · doi:10.1007/bf02684778 · Cited by 1,722
Borel, A. (1991) · Graduate Texts in Mathematics · doi:10.1007/978-1-4612-0941-6 · Cited by 1,660
Springer, T. A. (1998) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4840-4 · Cited by 1,277
Lang, S. (2002) · Graduate Texts in Mathematics · doi:10.1007/978-1-4613-0041-0 · Cited by 1,136
Deligne, P. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684780 · Cited by 943
Borel, A., & Tits, J. (1965) · Publications mathématiques de l IHÉS · doi:10.1007/bf02684375 · Cited by 843
Metadata
- Authors
- Digne, F., & Michel, J.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2020-02-14
- OpenAlex
- W1525801219
- Cited by
- 434
- References
- 32
- FWCI
- 13.39
- Type
- book
- Language
- en
- Open access
- bronze
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