scholarly journals The gamma filtrations for the spin groups

2021 ◽  
Vol 44 (1) ◽  
Author(s):  
Nobuaki Yagita
Keyword(s):  
Spin Groups

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

2009 ◽  
Vol 61 (3) ◽  
pp. 617-640 ◽  
Author(s):  
Wook Kim
Keyword(s):  
Half Plane ◽  
Spin Groups ◽  
Standard Module ◽  
Square Integrability ◽  
Integrability Criterion

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 formof 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–Shahidimethod 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.

The torsion index of the spin groups

2005 ◽  
Vol 129 (2) ◽  
pp. 249-290 ◽  
Author(s):  
Burt Totaro
Keyword(s):  
Spin Groups

Lie groups as spin groups

1993 ◽  
Vol 34 (8) ◽  
pp. 3642-3669 ◽  
Author(s):  
C. Doran ◽  
D. Hestenes ◽  
F. Sommen ◽  
N. Van Acker
Keyword(s):  
Lie Groups ◽  
Spin Groups
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