English

$\ell$-weights and factorization of transfer operators

Quantum Algebra 2021-09-15 v1 Mathematical Physics math.MP

Abstract

We analyze the \ell--weights of the evaluation and qq-oscillator representations of the quantum loop algebras Uq(L(sll+1))\mathrm U_q(\mathcal L(\mathfrak{sl}_{\, l + 1})) for l=1l = 1 and l=2l = 2 and prove the factorization relations for the transfer operators of the associated quantum integrable systems.

Keywords

Cite

@article{arxiv.2103.16200,
  title  = {$\ell$-weights and factorization of transfer operators},
  author = {A. V. Razumov},
  journal= {arXiv preprint arXiv:2103.16200},
  year   = {2021}
}

Comments

27 pages, submitted to the proceedings of the International conference "Polivanov-90"

R2 v1 2026-06-24T00:41:05.640Z