Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups
Chris Jantzen
Jan 1996 · Memoirs of the American Mathematical Society Book 100 · American Mathematical Soc.
Ebook
100
Pages
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About this ebook
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.
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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