New relations in the algebra of the Baxter Q-operators
High Energy Physics - Theory
2007-05-23 v3 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator can be represented as a trace of a tensor product of L-operators corresponding to one of these cyclic representations and satisfies the TQ-equation. We find a new algebraic structure generated by these L-operators and, as a consequence, by the Q-operators.
Cite
@article{arxiv.hep-th/0110126,
title = {New relations in the algebra of the Baxter Q-operators},
author = {A. A. Belavin and A. V. Odesskii and R. A. Usmanov},
journal= {arXiv preprint arXiv:hep-th/0110126},
year = {2007}
}
Comments
35 pages, LaTeX