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The Erwin Schroedinger Institute for Mathematical Physics

Sebastian Burciu (Simion Stoilow Institute of Mathematics of the Romanian Academy): On the Grothendieck groups of equivariantized fusion categories

Sebastian Burciu (Simion Stoilow Institute of Mathematics of the Romanian Academy)

 

Abstract: We describe a Mackey type decomposition for group actions on abelian categories. In the case of an action by tensor autoequivalences the Mackey functor at the level of Grothendieck rings has a Green functor structure. As an application we give a description of the Grothendieck rings of equivariantized fusion categories under group actions by tensor autoequivalences on graded fusion categories. It is shown that these Grothendieck rings have a ring structure similar to the (double) Burnside rings of finite groups and some other rings obtained by Bouc and Witherspoon.

 

  

At a glance

Type: Lecture
When: Feb 14, 2014
from 11:00 AM to 12:00 PM
Where: ESI, Boltzmann Lecture Hall
Organizers: J. Fuchs, L. Katzarkov, N. Reshetikhin, C. Schweigert
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