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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 1, Pages 101–112
DOI: https://doi.org/10.4213/tmf890 (Mi tmf890) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Dynamic systems related to the Cremmer–Gervais $R$-matrix

E. V. Damaskinskya, P. P. Kulishb, M. Chaichianc

a Military Technical University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
c University of Helsinki
Full-text PDF (228 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf890
Abstract: The generalized Cremmer–Gervais $R$-matrix, which is a twist of the standard $sl_q(3)$ $R$-matrix, depends on two additional parameters. We discuss the properties of this $R$-matrix and construct two associated dynamic systems: the $q$-oscillator that is covariant with respect to the corresponding quantum group and an integrable spin chain with a non-Hermitian Hamiltonian.
Received: 05.02.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 1, Pages 820–828
DOI: https://doi.org/10.1007/BF02557124
Bibliographic databases:
Language: Russian
Citation: E. V. Damaskinsky, P. P. Kulish, M. Chaichian, “Dynamic systems related to the Cremmer–Gervais $R$-matrix”, TMF, 116:1 (1998), 101–112; Theoret. and Math. Phys., 116:1 (1998), 820–828
Citation in format AMSBIB
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\paper Dynamic systems related to the Cremmer--Gervais $R$-matrix
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\issue 1
\pages 101--112
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\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 1
\pages 820--828
\crossref{https://doi.org/10.1007/BF02557124}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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