## 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

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 278 Kb |

## 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 |

Download Statistics: last 4 weeks

Repository Staff Only: edit this item