Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Ivan Penkov
Affiliation:

Jacobs University, Bremen
Date:

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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/5312