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math.RT2007★ 1 cited
On the existence of homomorphisms between principal series of complex semisimple Lie groups
Noriyuki Abe
We determine when there exists a nonzero homomorphism between principal series representations of a complex semisimple Lie group. We also determines the existence of homomorphisms…
math.RT2007★ 3 cited
Generalized Jacquet modules of parabolic induction
Noriyuki Abe
In this paper we study a generalization of the Jacquet module of a parabolic induction and construct a filtration on it. The successive quotient of the filtration is written by usi…