Modular Representations of Finite Groups o...

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Sprache: Englisch

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Beschreibung

Finite groups of Lie type encompass most of the finite simple groups. Their matrix representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. The aim here is to make the subject more accessible to researchers in neighboring parts of group theory, number theory, and topology.

Über den Autor

James E. Humphreys was born in Erie, Pennsylvania, and received his AB from Oberlin College, Ohio in 1961, and his PhD from Yale University, Connecticut in 1966. He has taught at the University of Oregon, Courant Institute of Mathematical Sciences, New York University, and the University of Massachusetts, Amherst (now retired). He visits the Institute of Advanced Studies, Princeton and Rutgers. He is the author of several graduate texts and monographs.

Inhaltsverzeichnis

1. Finite groups of Lie type; 2. Simple modules; 3. Weyl modules and Lusztig's conjecture; 4. Computation of weight multiplicities; 5. Other aspects of simple modules; 6. Tensor products; 7. BN-pairs and induced modules; 8. Blocks; 9. Projective modules; 10. Comparison with Frobenius kernels; 11. Cartan invariants; 12. Extensions of simple modules; 13. Loewy series; 14. Cohomology; 15. Complexity and support varieties; 16. Ordinary and modular representations; 17. Deligne-Lusztig characters; 18. The groups G2; 19. General and special linear groups; 20. Suzuki and Ree groups; Bibliography; Frequently used symbols; Index.

Details

Erscheinungsjahr:	2015
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521674546
ISBN-10:	0521674549
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Humphreys, James E.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 14 mm
Von/Mit:	James E. Humphreys
Erscheinungsdatum:	01.12.2015
Gewicht:	0,365 kg