5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.CT2009★ 5 cited
General heart construction on a triangulated category (II): Associated cohomological functor
Noriyuki Abe, Hiroyuki Nakaoka
In the preceding part (I) of this paper, we showed that for any torsion pair (i.e., -structure without the shift-closedness) in a triangulated category, there is an associated a…
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…