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

  Published:2009-06-01
 Printed: Jun 2009
  • Wook Kim
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Abstract

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 Mui\'c'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.
MSC Classifications: 11F70, 11F85 show english descriptions Representation-theoretic methods; automorphic representations over local and global fields
$p$-adic theory, local fields [See also 14G20, 22E50]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields
11F85 - $p$-adic theory, local fields [See also 14G20, 22E50]
 

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