For each simply connected semisimple algebraic group G defined and split over the prime field ކ , we establish a uniform bound on n above which all of the first p Ž . cohomology groups with values in the simple modules for the finite group G n are Ž . determined by those for the algebraic group G
On the Self-Dual Representations of Finite Groups of Lie Type
✍ Scribed by Dipendra Prasad
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 134 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
- Introduction 2. Preliminaries 3. The main lemma 4. The main theorem Ž . 5. Self-dual representations for GL n, F q 6. Calculation of the element s and consequences 7. Symplectic groups Ž . 8. Self-dual representations for SL n, F q Ž . 9. The counterexample for SL 6, F , q ' 3 mod 4 q 10. References q results in this article depend in an essential way on the uniqueness of Whittaker models, and work only for representations which have Whit-298
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