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On Quotients of Hom-Functors and Representations of Finite General Linear Groups II

✍ Scribed by Richard Dipper

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 680 KB
Volume: 209
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7541

No coin nor oath required. For personal study only.

✦ Synopsis

This is a second article on quotients of Hom-functors and their applications to the representation theory of finite general linear groups in a nondescribing characteristic. After some general results on quotients of Hom-functors and their connection to the Harish᎐Chandra theory these constructions are used to obtain a Ž .

full classification of the l l-modular irreducible representations of GL q for some n prime power q which is not divisible by the prime l l and to explain some facts on their Harish᎐Chandra series and decomposition numbers.

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