Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups
Chris Jantzen
ม.ค. 1996 · Memoirs of the American Mathematical Societyหนังสือเล่มที่ 100 · American Mathematical Soc.
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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.