Shintani Descent for Special Linear Groups
β Scribed by Toshiaki Shoji
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 638 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
In this paper, the Shintani descent of irreducible characters of finite special Ε½ . linear groups is discussed. We parametrize irreducible characters of SL F by n q Ε½ . making use of modified generalized GelfandαGraev characters. Shintani descent Ε½ . m of irreducible characters of SL F is determined by investigating the Shintani n q
descent of generalized GelfandαGraev characters. Our results hold for arbitrary p and q.
π SIMILAR VOLUMES
In [A. Turull, J. Algebra 235 (2001), 275-314], we calculated the Schur index of each of the irreducible characters of the finite special linear groups. In the present paper, we calculate the Schur index of all the irreducible characters of some overgroups of the special linear groups. The overgroup
For such a p-chain C we denote m j=0 N G U j by N G C , and by C we denote the length m of C. Moreover, for a given p-block B of G and a non-negative integer d, let Irr N G C B d denote the set of irreducible characters Ο of N G C , such that Ο belongs to a block of N G C inducing B and such that p