Square Integrable Representations and the Standard Module Conjecture for General Spin Groups

Kim, Wook

Canadian journal of mathematics, Tome 61 (2009) no. 3, pp. 617-640

Résumé

In this paper we study square integrable representations and $L$ -functions for quasisplit general spin groups over a $p$ -adic field. In the first part, the holomorphy of $L$ -functions in a half plane is proved by using a variant form of Casselman's square integrability criterion and the Langlands–Shahidi method. The remaining part focuses on the proof of the standard module conjecture. We generalize Muić's idea via the Langlands–Shahidi method towards a proof of the conjecture. It is used in the work of M. Asgari and F. Shahidi on generic transfer for general spin groups.

Détail

DOI : 10.4153/CJM-2009-033-3

Mots-clés : 11F70, 11F85

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