Seminar in Algebra, Lie Theory, and Geometry

Vera Serganova

(University of California, Berkeley)

"Deligne's Categories and Their Abelian Envelopes, Part II"


Date: Thu, March 26, 2015
Time: 15:45
Place: Seminar Room (120), Research I

Abstract: When \(t\) is integer, the categories \(\mathrm{Rep}\,\mathrm{GL}(t)\) and \(\mathrm{Rep}\,\mathrm{O}(t)\) are not abelian. They satisfy a weaker condition: existence of the kernel and the image for any projector. Therefore it is interesting to embed Deligne categories into some universal abelian categories. We give a construction of such category in the case \(\mathrm{Rep}\,\mathrm{GL}(t)\) using representation theory of classical supergroups.