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Realization of the Universal s ℓ q (2)-Symmetric R -Operator in a Function Space for General and Exceptional Values of the Deformation Parameter

Author： Karakhanyan D.R.

Publisher： Springer Publishing Company

ISSN： 0040-5779

Source： Theoretical and Mathematical Physics, Vol.135, Iss.2, 2003-05, pp. : 614-637

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

Based on the realization of representations of the algebra sℓ_q(2) in the space of polynomials for general values of the deformation parameter q and on a finite tuple of theta functions, which are a natural generalization of polynomials, we construct the eigenstates and find the related eigenvalues of the universal R-operator for cyclic representations corresponding to q^N = ±1.

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