sl(N)-Web categories
Quantum Algebra
2013-11-07 v2
Abstract
In this paper we use colored sl(N)-matrix factorizations, due to Wu and Y.Y., in order to categorify part of the quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison. In particular, we define web categories and 2-representations of Khovanov and Lauda's categorical quantum sl(m) on them. We show that each such web category is equivalent to the category of finite dimensional graded projective modules over a certain level N cyclotomic Khovanov-Lauda-Rouquier algebra.
Keywords
Cite
@article{arxiv.1306.6242,
title = {sl(N)-Web categories},
author = {Marco Mackaay and Yasuyoshi Yonezawa},
journal= {arXiv preprint arXiv:1306.6242},
year = {2013}
}
Comments
39 pages, only small changes