Degenerate Principal Series for Symplectic Groups is popular PDF and ePub book, written by Chris Jantzen in 1993, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Degenerate Principal Series for Symplectic Groups can be Read Online from any device for your convenience.
Degenerate Principal Series for Symplectic Groups Book PDF Summary
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 Tadi\'c 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.
Detail Book of Degenerate Principal Series for Symplectic Groups PDF
- Author : Chris Jantzen
- Release : 20 September 1993
- Publisher : American Mathematical Soc.
- ISBN : 9780821825495
- Genre : Mathematics
- Total Page : 130 pages
- Language : English
- PDF File Size : 11,5 Mb
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