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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.RT2009
The category for a general Coxeter system
Noriyuki Abe
We study the category for a general Coxeter system using a formulation of Fiebig. The translation functors, the Zuckerman functors and the twisting functors are defin…