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Item Details
Title: DEGENERATE PRINCIPAL SERIES FOR SYMPLECTIC AND ODD-ORTHOGONAL GROUPS
By: Chris Jantzen
Format: Paperback

List price: £40.95


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ISBN 10: 0821804820
ISBN 13: 9780821804827
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1996
Series: Memoirs of the American Mathematical Society v. 124
Pages: 100
Description: Studies reducibility in a certain class of induced representations for $Sp_{2n}(F)$ and $SO_{2n+1}(F)$, where $F$ is $p$-adic. This memoir is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup.
Synopsis: This memoir studies reducibility in a certain class of induced representations for $Sp_{2n}(F)$ and $SO_{2n+1}(F)$, where $F$ is $p$-adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadic, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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