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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 2, Pages 196–223
DOI: https://doi.org/10.4213/tmf182 (Mi tmf182) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

D. R. Karakhanyan

Yerevan Physics Institute
Full-text PDF (323 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf182
Abstract: Based on the realization of representations of the algebra $s\ell_q(2)$ 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 $q^N=\pm1$.
Keywords: exactly solvable models, universal $R$-matrix, cyclic representations, $N$th root of unity, eigenvalues.
Received: 13.05.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 2, Pages 614–637
DOI: https://doi.org/10.1023/A:1023662330333
Bibliographic databases:
Language: Russian
Citation: D. R. Karakhanyan, “Realization of the Universal $s\ell_q(2)$-Symmetric $R$-Operator in a Function Space for General and Exceptional Values of the Deformation Parameter”, TMF, 135:2 (2003), 196–223; Theoret. and Math. Phys., 135:2 (2003), 614–637
Citation in format AMSBIB
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\paper Realization of the Universal $s\ell_q(2)$-Symmetric $R$-Operator in a Function Space for General and Exceptional Values of the Deformation Parameter
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 2
\pages 614--637
\crossref{https://doi.org/10.1023/A:1023662330333}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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