Communications in Mathematical Physics

, Volume 136, Issue 3, pp 607–623 | Cite as

CyclicL-operator related with a 3-stateR-matrix

  • V. V. Bazhanov
  • R. M. Kashaev


We consider the problem of constructing a cyclicL-operator associated with a 3-stateR-matrix related to theU q (sl(3)) algebra atq N =1. This problem is reduced to the construction of a cyclic (i.e. with no highest weight vector) representation of some twelve generating element algebra, which generalizes theU q (sl(3)) algebra. We found such representation acting inC N C N C N . The necessary conditions of the existence of the intertwining operator for two representations are also discussed.


Neural Network Statistical Physic Complex System Nonlinear Dynamics High Weight 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • V. V. Bazhanov
    • 1
  • R. M. Kashaev
    • 1
  1. 1.Institute for High Energy PhysicsProtvinoUSSR

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