Belavin, A. A. and Odesskii, A. V. and Usmanov, R. A.
(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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Official URL: http://www.springerlink.com/content/c63a6eyxr5yd/?...

## 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 |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 14 Algebraic geometry MSC 2010, the AMS's Mathematics Subject Classification > 17 Nonassociative rings and algebras |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 27 Mar 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/731 |

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