Braid group actions and tensor products for Yangians

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.

18 Pages. arXiv admin note: text overlap with arXiv:1503.06510

References in corpus (3)

• Yangians, Integrable Quantum Systems and Dorey's rule
• On irreducibility of tensor products of evaluation modules for the quantum affine algebra
• Local Weyl modules and cyclicity of tensor products for Yangians

Cited by in corpus (2)

• Equivalences between three presentations of orthogonal and symplectic Yangians
• Poles of finite-dimensional representations of Yangians