Tensor product algebras in type A are Koszul

Abstract

In this note, we prove the Koszulity of the tensor product algebra defined in the author's previous work for sl(n) and a list of fundamental weights. This is achieved by constructing a graded Morita equivalence between the modules over this algebra and a sum of blocks of category O in type A.

This paper has been superceded by "On generalized category $\mathcal{O}$ for a quiver variety.", arXiv:1409.4461

References in corpus (1)

• Quantizations of conical symplectic resolutions I: local and global structure

Cited by in corpus (1)

• Tensor product categorifications and the super Kazhdan-Lusztig conjecture