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Algebra i Analiz, 1994, Volume 6, Issue 3, Pages 242–251 (Mi aa461)  

This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Topological quantum groups, star products and their relations

M. Flato, D. Sternheimer

Université de Bourgogne
Abstract: This short summary of recent developments in quantum compact groups and star products is divided into 2 parts. In the first one we recast star products in a more abstract form as deformations and review its recent developments. The second part starts with a rapid presentation of standard quantum group theory and its problems, then moves to their completion by introduction of suitable Montel topologies well adapted to duality. Preferred deformations (by star products and unchanged coproducts) of Hopf algebras of functions on compact groups and their duals, are of special interest. Connection with the usual models of quantum groups and the quantum double is then presented.
Received: 20.01.1994
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Flato, D. Sternheimer, “Topological quantum groups, star products and their relations”, Algebra i Analiz, 6:3 (1994), 242–251; St. Petersburg Math. J., 6:3 (1995), 675–684
Citation in format AMSBIB
\Bibitem{FlaSte94}
\by M.~Flato, D.~Sternheimer
\paper Topological quantum groups, star products and their relations
\jour Algebra i Analiz
\yr 1994
\vol 6
\issue 3
\pages 242--251
\mathnet{http://mi.mathnet.ru/aa461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1301840}
\zmath{https://zbmath.org/?q=an:0839.17006|0827.17020}
\transl
\jour St. Petersburg Math. J.
\yr 1995
\vol 6
\issue 3
\pages 675--684
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  • https://www.mathnet.ru/eng/aa/v6/i3/p242
  • 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
    Алгебра и анализ St. Petersburg Mathematical Journal
     
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