Categorification of integrable representations of quantum groups
Representation Theory
2024-07-09 v2 Quantum Algebra
Abstract
We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As byproducts, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties.
Cite
@article{arxiv.0803.3668,
title = {Categorification of integrable representations of quantum groups},
author = {Hao Zheng},
journal= {arXiv preprint arXiv:0803.3668},
year = {2024}
}
Comments
35pages, v2: minor revisions, typo fixed