Reflection functors on quiver Hecke algebras
Representation Theory
2025-11-11 v2 Quantum Algebra
Abstract
We construct the reflection functors for quiver Hecke algebras of an arbitrary symmetrizable Kac-Moody type. These reflection functors categorify Lusztig's braid symmetries.
Cite
@article{arxiv.2506.12681,
title = {Reflection functors on quiver Hecke algebras},
author = {Masaki Kashiwara and Myungho Kim and Se-jin Oh and Euiyong Park},
journal= {arXiv preprint arXiv:2506.12681},
year = {2025}
}
Comments
In v1, 82 pages. In v2, we made numerous changes and added a new appendix with total 73 pages