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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 49–65 (Mi znsl533)  
This article is cited in 21 scientific papers (total in 22 papers)

Dirac operators on quantum $SU(2)$ group and quantum sphere

P. N. Bibikov, P. P. Kulish

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (208 kB) Citations (22)
Abstract: Problems of definition of Dirac operators on the quantum group $SU(2)$ and the quantum sphere $S^2_{q\mu}$ are discussed. In both two cases proposed ones have the similar $SU_q(2)$-invariant form and are strictly connected with corresponding Laplace operators. The spectrum of proposed operators also is calculated.
Received: 01.02.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2039–2050
DOI: https://doi.org/10.1007/BF02675726
Bibliographic databases:
UDC: 530.145+517.9
Language: Russian
Citation: P. N. Bibikov, P. P. Kulish, “Dirac operators on quantum $SU(2)$ group and quantum sphere”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 49–65; J. Math. Sci. (New York), 100:2 (2000), 2039–2050
Citation in format AMSBIB
\Bibitem{BibKul97}
\by P.~N.~Bibikov, P.~P.~Kulish
\paper Dirac operators on quantum $SU(2)$ group and quantum sphere
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 49--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1627837}
\zmath{https://zbmath.org/?q=an:0954.58004}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2039--2050
\crossref{https://doi.org/10.1007/BF02675726}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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