Supercategorification of quantum Kac-Moody algebras II
Representation Theory
2013-07-10 v2 Quantum Algebra
Abstract
In this paper, we investigate the supercategories consisting of supermodules over quiver Hecke superalgebras and cyclotomic quiver Hecke superalgebras. We prove that these supercategories provide a supercategorification of a certain family of quantum superalgebras and their integrable highest weight modules. We show that, by taking a specialization, we obtain a supercategorification of quantum Kac-Moody superalgebras and their integrable highest weight modules.
Keywords
Cite
@article{arxiv.1303.1916,
title = {Supercategorification of quantum Kac-Moody algebras II},
author = {Seok-Jin Kang and Masaki Kashiwara and Se-jin Oh},
journal= {arXiv preprint arXiv:1303.1916},
year = {2013}
}
Comments
The 1st version, 73 pages. The 2nd version, 75 pages with minor changes