Categorification of the internal braid group action for quantum groups I: 2-functoriality
Quantum Algebra
2024-04-17 v1 Representation Theory
Abstract
We define 2-functors on the categorified quantum group of a simply-laced Kac-Moody algebra that induce Lusztig's internal braid group action at the level of the Grothendieck group.
Keywords
Cite
@article{arxiv.2205.04598,
title = {Categorification of the internal braid group action for quantum groups I: 2-functoriality},
author = {Michael T. Abram and Laffite Lamberto-Egan and Aaron D. Lauda and David E. V. Rose},
journal= {arXiv preprint arXiv:2205.04598},
year = {2024}
}
Comments
60 pages with xypic figures