Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups

Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 114
Release :
ISBN-10 : 9780821804827
ISBN-13 : 0821804820
Rating : 4/5 (820 Downloads)

Book Synopsis Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups by : Chris Jantzen

Download or read book Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups written by Chris Jantzen and published by American Mathematical Soc.. This book was released on 1996-01-01 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir studies reducibility in a certain class of induced representations for and , where is -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 Tadić, 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.


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