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On a conjecture of Khoroshkin and Tolstoy

Quantum Algebra 2025-08-06 v1 Mathematical Physics math.MP Representation Theory

Abstract

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

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Cite

@article{arxiv.2206.14857,
  title  = {On a conjecture of Khoroshkin and Tolstoy},
  author = {Andrea Appel and Sachin Gautam and Curtis Wendlandt},
  journal= {arXiv preprint arXiv:2206.14857},
  year   = {2025}
}

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12 pages