Highest weight categories arising from Khovanov's diagram algebra II: Koszulity

Details Highest weight categories arising from Khovanov's diagram algebra II: Koszulity Highest weight categories arising from Khovanov's diagram algebra II: Koszulity

2008-06-20

arxiv.org/abs/0806.3472v2

Transform. Groups 15 (2010), 1--45

Mathematics

Representation Theory

Minor changes, extra sections on Kostant modules and rigidity of cell modules added

Scientific paper

10.1007/s00031-010-9079-4

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.

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