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On the type and the standardform of induced UA representations

✍ Scribed by P. M. Broek

Book ID
104757878
Publisher
Springer
Year
1979
Tongue
English
Weight
310 KB
Volume
3
Category
Article
ISSN
0377-9017

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✦ Synopsis

We derive to which of the three types an irreducible UA representation which is obtained with the procedure of generalised induction belongs. We analyse the question whether or not the irreducible induced UA representations are on standardform. The results hold as well for induced PUA representations.

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1. Introduction 2. Preliminaries 3. The main lemma 4. The main theorem Ε½ . 5. Self-dual representations for GL n, F q 6. Calculation of the element s and consequences 7. Symplectic groups Ε½ . 8. Self-dual representations for SL n, F q Ε½ . 9. The counterexample for SL 6, F , q ' 3 mod 4 q 10. Referen