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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 2, Pages 193–199 (Mi tmf1416)  

This article is cited in 8 scientific papers (total in 9 papers)

Quantum groups, $q$ oscillators, and covariant algebras

P. P. Kulish

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (784 kB) Citations (9)
References:
Abstract: The physical interpretation of the basic concepts of the theory of covariant groups–coproducts, representations and corepresentations, action and coaction–is discussed for the examples of the simplest $q$ deformed objects (quantum groups and algebras, $q$ oscillators, and comodule algebras). It is shown that the reduction of the covariant algebra of quantum second-rank tensors includes the algebras of theq oscillator and quantum sphere. A special case of covariant algebra corresponds to the braid group in a space with nontrivial topology.
Received: 08.09.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 94, Issue 2, Pages 137–141
DOI: https://doi.org/10.1007/BF01019325
Bibliographic databases:
Language: Russian
Citation: P. P. Kulish, “Quantum groups, $q$ oscillators, and covariant algebras”, TMF, 94:2 (1993), 193–199; Theoret. and Math. Phys., 94:2 (1993), 137–141
Citation in format AMSBIB
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\by P.~P.~Kulish
\paper Quantum groups, $q$ oscillators, and covariant algebras
\jour TMF
\yr 1993
\vol 94
\issue 2
\pages 193--199
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1221730}
\zmath{https://zbmath.org/?q=an:0973.17503}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 94
\issue 2
\pages 137--141
\crossref{https://doi.org/10.1007/BF01019325}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LZ24300002}
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  • https://www.mathnet.ru/eng/tmf1416
  • https://www.mathnet.ru/eng/tmf/v94/i2/p193
  • This publication is cited in the following 9 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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    Abstract page:459
    Full-text PDF :185
    References:37
    First page:3
     
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