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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.
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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