Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework
Quantum Algebra
2025-09-25 v3
Abstract
The classification of one-parameter small quantum groups remains a fascinating open problem. This paper uncovers a novel phenomenon: beyond the Lusztig small quantum groups-equipped with double group-like elements -there exists a plethora of exotic small quantum groups, approximately fivefold more numerous than their standard counterparts, which originate from a two-parameter framework.
Cite
@article{arxiv.2402.13141,
title = {Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework},
author = {Naihong Hu and Xiao Xu},
journal= {arXiv preprint arXiv:2402.13141},
year = {2025}
}