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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 93, Number 2, Pages 302–329 (Mi tmf1530)  
This article is cited in 56 scientific papers (total in 56 papers)

Poisson–Lie groups. The quantum duality principle and the twisted quantum double

M. A. Semenov-Tian-Shansky

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (2373 kB) Citations (56)
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Abstract: The quantum duality principle relates the quantum groups that arise on the quantization of Poisson–Lie dual groups and generalizes Fourier duality. Also considered are the theory of the Heisenberg double, which replaces the cotangent bundle for quantum groups, and its deformations (the twisted double).
Received: 18.06.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 93, Issue 2, Pages 1292–1307
DOI: https://doi.org/10.1007/BF01083527
Bibliographic databases:
Language: Russian
Citation: M. A. Semenov-Tian-Shansky, “Poisson–Lie groups. The quantum duality principle and the twisted quantum double”, TMF, 93:2 (1992), 302–329; Theoret. and Math. Phys., 93:2 (1992), 1292–1307
Citation in format AMSBIB
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\by M.~A.~Semenov-Tian-Shansky
\paper Poisson--Lie groups. The quantum duality principle and the twisted quantum double
\jour TMF
\yr 1992
\vol 93
\issue 2
\pages 302--329
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1233548}
\zmath{https://zbmath.org/?q=an:0834.22019}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 93
\issue 2
\pages 1292--1307
\crossref{https://doi.org/10.1007/BF01083527}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LJ23200009}
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  • https://www.mathnet.ru/eng/tmf/v93/i2/p302
    • This publication is cited in the following 56 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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    References:52
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