Degenerate Principal Series for Symplectic Groups (Memoirs of the American Mathematical Society)

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Degenerate Principal Series for Symplectic Groups (Memoirs of the American Mathematical Society)
	Author: Chris Jantzen Publisher: Amer Mathematical Society Category: Book Buy New: $32.00 New (1) Used (3) from $32.00 Media: Paperback Pages: 111 Shipping Weight (lbs): 0.5 Dimensions (in): 10.3 x 7.3 x 0.5 ISBN: 0821825496 EAN: 9780821825495 Publication Date: June 1993 Shipping: Eligible for Super Saver Shipping Availability: In stock soon. Order now to get in line. First come, first served.


Editorial Reviews: Product Description This paper is concerned with induced representations for $p$-adic groups. In particular, Jantzen examines the question of reducibility in the case where the inducing subgroup is a maximal parabolic subgroup of $Sp_{2n}(F)$ and the inducing representation is one-dimensional. Two different approaches to this problem are used. The first, based on the work of Casselman and of Gustafson, reduces the problem to the corresponding question about an associated finite-dimensional representation of a certain Hecke algebra. The second approach is based on a technique of Tadic and involves an analysis of Jacquet modules. This is used to obtain a more general result on induced representations, which may be used to deal with the problem when the inducing representation satisfies a regularity condition. The same basic argument is also applied in a case-by-case fashion to nonregular cases.

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