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arXiv · 1510.01533

Braid group actions and tensor products for Yangians

Yilan Tan
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Abstract

We introduce a braid group action on $l$-tuple of rational functions for the finite-dimensional representations of Yangians $Y(\mathfrak{g})$, where $\mathfrak{g}$ is a complex simple Lie algebra. It provides an efficient way to compute certain polynomials which allows us to provide a finite set of numbers at which the tensor product of Kirillov-Reshetikhin modules of Yangians may fail to be cyclic.

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Yilan Tan. 2015-10-06. Braid group actions and tensor products for Yangians. https://arxiv.org/abs/1510.01533

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