Highest weight categories arising from Khovanov's diagram algebra II: Koszulity
Representation Theory
2010-09-15 v2 Combinatorics
Abstract
This is the second of a series of four articles studying various generalisations of Khovanov's diagram algebra. In this article we develop the general theory of Khovanov's diagrammatically defined "projective functors" in our setting. As an application, we give a direct proof of the fact that the quasi-hereditary covers of generalised Khovanov algebras are Koszul.
Keywords
Cite
@article{arxiv.0806.3472,
title = {Highest weight categories arising from Khovanov's diagram algebra II: Koszulity},
author = {Jonathan Brundan and Catharina Stroppel},
journal= {arXiv preprint arXiv:0806.3472},
year = {2010}
}
Comments
Minor changes, extra sections on Kostant modules and rigidity of cell modules added