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Theoretical and Mathematical Physics

, Volume 130, Issue 3, pp 323–350 | Cite as

New Relations in the Algebra of the Baxter Q-Operators

  • A. A. Belavin
  • A. V. Odesskii
  • R. A. Usmanov
Article

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.

Keywords

Tensor Product Algebraic Structure Monodromy Matrice Cyclic Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • A. A. Belavin
    • 1
  • A. V. Odesskii
    • 1
  • R. A. Usmanov
    • 1
  1. 1.Landau Institute for Theoretical PhysicsChernogolovka, Moscow OblastRussia

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