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arXiv · 2512.03425

Faithful action of braid group on bosonic extensions

Masaki Kashiwara·Myungho Kim·Se-jin Oh·Euiyong Park
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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.

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Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park. 2025-12-03. Faithful action of braid group on bosonic extensions. https://arxiv.org/abs/2512.03425

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