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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 335, Pages 188–204 (Mi znsl215)  
This article is cited in 2 scientific papers (total in 3 papers)

Twist of quantum groups and noncommutative field theory

P. P. Kulish

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (218 kB) Citations (3)
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Abstract: The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown that in the framework of the twist theory of quantum groups, the noncommutative (super) space-time defined by coordinates with Heisenberg commutation relations, is (super) Poincaré invariant as well as the corresponding field theory. Noncommutative parameters of global transformations are introduced.
Received: 01.09.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 1, Pages 2806–2815
DOI: https://doi.org/10.1007/s10958-007-0166-6
Bibliographic databases:
UDC: 530.145, 539.12
Language: Russian
Citation: P. P. Kulish, “Twist of quantum groups and noncommutative field theory”, Questions of quantum field theory and statistical physics. Part 19, Zap. Nauchn. Sem. POMI, 335, POMI, St. Petersburg, 2006, 188–204; J. Math. Sci. (N. Y.), 143:1 (2007), 2806–2815
Citation in format AMSBIB
\Bibitem{Kul06}
\by P.~P.~Kulish
\paper Twist of quantum groups and noncommutative field theory
\inbook Questions of quantum field theory and statistical physics. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 335
\pages 188--204
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2269757}
\zmath{https://zbmath.org/?q=an:1116.81065}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 1
\pages 2806--2815
\crossref{https://doi.org/10.1007/s10958-007-0166-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247342045}
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  • https://www.mathnet.ru/eng/znsl/v335/p188
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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