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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 1, Pages 100–121
DOI: https://doi.org/10.4213/tmf6923 (Mi tmf6923) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Classical r-matrices of two- and three-dimensional Lie superbialgebras and their Poisson–Lie supergroups

A. Eghbali, A. Rezaei-Aghdam

Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran
Full-text PDF (653 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6923
Abstract: We obtain the classical r-matrices of two- and three-dimensional Lie superbialgebras. We thus classify all two- and three-dimensional coboundary Lie superbialgebras and their types (triangular, quasitriangular, or factorable). Using the Sklyanin superbracket, we then obtain the super Poisson structures on the related Poisson–Lie supergroups.
Keywords: Lie superbialgebra, Poisson–Lie supergroup, classical r-matrix.
Received: 18.06.2011
Revised: 13.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 1, Pages 963–986
DOI: https://doi.org/10.1007/s11232-012-0089-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Eghbali, A. Rezaei-Aghdam, “Classical r-matrices of two- and three-dimensional Lie superbialgebras and their Poisson–Lie supergroups”, TMF, 172:1 (2012), 100–121; Theoret. and Math. Phys., 172:1 (2012), 963–986
Citation in format AMSBIB
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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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    Full-text PDF :172
    References:76
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