Posted in

Speaker:

Ivan Penkov
Affiliation:

Jacobs University, Bremen
Date:

Tue, 2018-05-08 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics The classical Lie algebras sl, so, sp "of infinite rank" in the naive sense have uncountably many nonconjugate Borel subalgebras. Therefore the definition of categories of their representations involves choices. A natural choice is a Dynkin Borel subalgebra. In this talk, I will advocate for another choice, namely that of a perfect Borel subalgebra. In addition, I will impose the condition of large local annihilator on the objects of the category. The resulting category is a nice highest-weight category with standard objects, but without costandard objects. I will discuss the basic features of this category. This is a Joint work with Vera Serganova.

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