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

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.

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

References in corpus (2)

• Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
• A BGG-type resolution for tensor modules over general linear superalgebra

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