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arXiv · 2402.13141

Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework

Naihong Hu·Xiao Xu
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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.

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Naihong Hu, Xiao Xu. 2024-02-20. Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework. https://doi.org/10.1016/j.bulsci.2025.103738

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