Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups

Chris Jantzen

1996年1月 · Memoirs of the American Mathematical Society 第 100 本图书 · American Mathematical Soc.

关于此电子书

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.