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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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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