On a conjecture of Khoroshkin and Tolstoy

Abstract

We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from [Lett. Math. Phys. vol. 36 1996].

arXiv comment12 pages

References in corpus (8)

• Braid Group Action and Quantum Affine Algebras
• Convex Bases of PBW type for Quantum Affine Algebras
• Coproduct for the Yangian of an affine Kac-Moody algebra
• Equivalences between three presentations of orthogonal and symplectic Yangians
• Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)
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Cited by in corpus (1)

• Poles of finite-dimensional representations of Yangians