Relative subrepresentation theorem for a finite central extension of a reductive group
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Jacquet's subrepresentation theorem asserts that any irreducible admissible representation of a reductive p-adic group is a subrepresentation of IndG P ([tau]), where P is a parabolic subgroup of G and [tau] is a cuspidal representation. Kato and Takano extended this theorem to the H-relatively cuspidal case in [KT08]. In this dissertation, we work on the level of finite central extensions, and extend Kato and Takano's results to the finite central extension case.
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Ph. D.