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arXiv · 2110.03367

Braid group actions of quantum Borcherds-Bozec algebras

Zhaobing Fan·Bolun Tong
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Abstract

In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra $U_q(\mathscr g)$ and its weight module $M\in \mathcal O$, on which the generators with real indices of $U_q(\mathscr g)$ act nilpotently. We show that these symmetries satisfy the defining relations of the braid group, associated to the Weyl group $W$ of $U_q(\mathscr g)$, which gives a braid group action.

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BibTeXRIS

Zhaobing Fan, Bolun Tong. 2021-10-07. Braid group actions of quantum Borcherds-Bozec algebras. https://arxiv.org/abs/2110.03367

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