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Deformations of Multiparameter Quantum gl(N)

C. Fronsdal·A. Galindo
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Abstract

Multiparameter quantum gl(N) is not a rigid structure. This paper 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 (constant r-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.

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BibTeXRIS

C. Fronsdal, A. Galindo. 1995-05-16. Deformations of Multiparameter Quantum gl(N). https://doi.org/10.1007/bf00739372

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