Quadratic algebras based on SL(NM) elliptic quantum R-matrices
Quantum Algebra
2021-10-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct quadratic quantum algebra based on the dynamical RLL-relation for the quantum -matrix related to -bundles with nontrivial characteristic class over elliptic curve. This -matrix generalizes simultaneously the elliptic nondynamical Baxter--Belavin and the dynamical Felder -matrices,and the obtained quadratic relations generalize both -- the Sklyanin algebra and the relations in the Felder-Tarasov-Varchenko elliptic quantum group, which are reproduced in the particular cases and respectively.
Keywords
Cite
@article{arxiv.2104.04963,
title = {Quadratic algebras based on SL(NM) elliptic quantum R-matrices},
author = {I. A. Sechin and A. V. Zotov},
journal= {arXiv preprint arXiv:2104.04963},
year = {2021}
}
Comments
10 pages