Functional Analysis and Its Applications

, Volume 37, Issue 2, pp 81–85 | Cite as

Central Elements of the Elliptic Yang–Baxter Algebra at Roots of Unity

  • A. A. Belavin
  • M. Jimbo


We give central elements of the Yang--Baxter algebra for the R-matrix of the eight-vertex model for the case in which the crossing parameter is a rational multiple of one of the periods.

eight-vertex model R-matrix Yang--Baxter algebra center Baxter intertwining vector 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • A. A. Belavin
    • 1
  • M. Jimbo
    • 2
  1. 1.L. D. Landau Institute for Theoretical PhysicsRussian Academy of SciencesRussia
  2. 2.Graduate School of Mathematical SciencesUniversity of TokyoJapan

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