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2007.32: New relations in the algebra of the Baxter Q-operators

2007.32: A. A. Belavin, A. V. Odesskii and R. A. Usmanov (2002) New relations in the algebra of the Baxter Q-operators. Theoretical and Mathematical Physics, 130 (3). pp. 383-413. ISSN 1573-9333

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DOI: 10.1023/A:1014758721234

Abstract

We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. At 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 this operator satisfies the TQ equation. We find a new algebraic structure generated by these L-operators and consequently by the Q-operators.

Item Type:Article
Subjects:MSC 2000 > 14 Algebraic geometry
MSC 2000 > 17 Nonassociative rings and algebras
MIMS number:2007.32
Deposited By:Miss Louise Stait
Deposited On:27 March 2007

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