Exact sequences of tensor categories with respect to a module category

We generalize the definition of an exact sequence of tensor categories due to Bruguières and Natale, and introduce a new notion of an exact sequence of (finite) tensor categories with respect to a module category. We give three definitions of this notion and show their equivalence. In particular, th...

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Bibliographic Details
Main Authors: Etingof, Pavel I, Gelaki, Shlomo
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier BV 2019
Online Access:http://hdl.handle.net/1721.1/120594
https://orcid.org/0000-0002-0710-1416