Tensor product algebras in type A are Koszul
Representation Theory
2016-06-13 v2 Rings and Algebras
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.
Cite
@article{arxiv.1209.2777,
title = {Tensor product algebras in type A are Koszul},
author = {Ben Webster},
journal= {arXiv preprint arXiv:1209.2777},
year = {2016}
}
Comments
This paper has been superceded by "On generalized category $\mathcal{O}$ for a quiver variety.", arXiv:1409.4461