Regular poles for the p-adic group $GSp_4$
Author(s) -
Yusuf Danisman
Publication year - 2014
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1306-28
Subject(s) - mathematics , unipotent , bessel function , pure mathematics , group (periodic table) , field (mathematics) , algebra over a field , local field , mathematical analysis , geometry , chemistry , organic chemistry
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group GSp4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the L-factors of the generic representations of GSp4.
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