Letters in Mathematical Physics

, Volume 34, Issue 1, pp 25–36 | Cite as

Deformations of multiparameter quantum gl(N)

  • C. Frønsdal
  • A. Galindo
Article

Abstract

Multiparameter quantum gl(N) is not a rigid structure. This Letter defines an essential deformation as one that cannot be interpreted in terms of a similarity transformation, nor as a perturbation of the parameters. All the equivalence classes of first-order essential deformations are found, as well as a class of exact deformations. This work provides quantization of all the classical Lie bialgebra structures (constantr-matrices) found by Belavin and Drinfeld for sl(n). A special case, that requires the Hecke parameter to be a cubic root of unity, stands out.

Mathematics Subject Classifications (1991)

81R50 70G50 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • C. Frønsdal
    • 1
  • A. Galindo
    • 2
  1. 1.Department of PhysicsUCLALos AngelesUSA
  2. 2.Departamento de Fisica TeóricaUniversidad ComplutenseMadridSpain

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