Faithful action of braid group on bosonic extensions

Fuente: arXiv
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Autores principales: Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong
Formato: Preprint
Publicado: 2025
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author Kashiwara, Masaki
Kim, Myungho
Oh, Se-jin
Park, Euiyong
author_facet Kashiwara, Masaki
Kim, Myungho
Oh, Se-jin
Park, Euiyong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_03425
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Faithful action of braid group on bosonic extensions
Kashiwara, Masaki
Kim, Myungho
Oh, Se-jin
Park, Euiyong
Representation Theory
Quantum Algebra
17B37, 20F36
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.
title Faithful action of braid group on bosonic extensions
topic Representation Theory
Quantum Algebra
17B37, 20F36
url https://arxiv.org/abs/2512.03425