Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup
Representation Theory
2012-05-08 v2
Abstract
We prove that blocks of the general linear supergroup are Morita equivalent to a limiting version of Khovanov's diagram algebra. We deduce that blocks of the general linear supergroup are Koszul.
Keywords
Cite
@article{arxiv.0907.2543,
title = {Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup},
author = {Jonathan Brundan and Catharina Stroppel},
journal= {arXiv preprint arXiv:0907.2543},
year = {2012}
}
Comments
Some examples added at end of introduction, exposition of "weight dictionary" simplified; 44 pages