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Faithful action of braid group on bosonic extensions

Published 3 Dec 2025 in math.RT and math.QA | (2512.03425v1)

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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