Faithful action of braid group on bosonic extensions
Representation Theory
2025-12-04 v1 Quantum Algebra
Abstract
The braid group action on the bosonic extension of the quantum group has been introduced in recent works, and it can be regarded as a generalization of Lusztig's symmetries on the quantum group. In this notes, we prove the faithfulness of this braid group action.
Cite
@article{arxiv.2512.03425,
title = {Faithful action of braid group on bosonic extensions},
author = {Masaki Kashiwara and Myungho Kim and Se-jin Oh and Euiyong Park},
journal= {arXiv preprint arXiv:2512.03425},
year = {2025}
}
Comments
12pages