On graded centers of stable and derived module categories
Homological Methods in Representation Theory
March 31, 2008 09:30 AM to 10:30 AM
Speakers:
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Abstract: |
The center of a category C, introduced by P. Gabriel, consists
of all natural transformations on the identity functor on C.
The terminology is motivated by the fact that if C is the module
category of a ring A then the center of C is isomorphic to the center
of the ring A. If C is an additive category equipped with a self
equivalence - for example, a triangulated category - one can refine this
concept to get a graded version, the graded center of C. This
is a graded ring which in some ways behaves like a cohomology ring.
Examples include the derived module category and the stable module
category of a self-injective algebra. We consider in particular graded centers of stable categories and some applications
in modular representation theory. |
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Lecture #12706
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