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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 1, Pages 87–93
DOI: https://doi.org/10.4213/tmf829 (Mi tmf829) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Hopf structure in Nambu–Lie n-algebras

R. Muradian, A. E. Santana
Full-text PDF (171 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf829
Abstract: We define and study the Hopf structures in the ternary (and n-ary) Nambu–Lie algebra. The fundamental concepts of 3-coalgebra, 3-bialgebra, and Hopf 3-algebra are introduced. Some examples of the Hopf structures are analyzed.
Received: 23.07.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 1, Pages 67–72
DOI: https://doi.org/10.1007/BF02557108
Bibliographic databases:
Language: Russian
Citation: R. Muradian, A. E. Santana, “Hopf structure in Nambu–Lie n-algebras”, TMF, 114:1 (1998), 87–93; Theoret. and Math. Phys., 114:1 (1998), 67–72
Citation in format AMSBIB
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\by R.~Muradian, A.~E.~Santana
\paper Hopf structure in Nambu--Lie $n$-algebras
\jour TMF
\yr 1998
\vol 114
\issue 1
\pages 87--93
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\crossref{https://doi.org/10.4213/tmf829}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756562}
\zmath{https://zbmath.org/?q=an:0955.17001}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 114
\issue 1
\pages 67--72
\crossref{https://doi.org/10.1007/BF02557108}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000073538400003}
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  • https://www.mathnet.ru/eng/tmf829
  • https://doi.org/10.4213/tmf829
  • https://www.mathnet.ru/eng/tmf/v114/i1/p87
    • This publication is cited in the following 4 articles:
    1. Yao Sh.-K., Liu P., Jia X.-Yu., “On Super Yangian Covariance of the Triple Product System”, Adv. Appl. Clifford Algebr., 29:1 (2019), UNSP 15  crossref  mathscinet  isi  scopus
    2. Rezaei-Aghdam A., Sedghi-Ghadim L., “3-Leibniz Bialgebras (3-Lie Bialgebras)”, Int. J. Geom. Methods Mod. Phys., 14:10 (2017), 1750142  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    3. Makhlouf A., “On Deformations of N-Lie Algebras”, Non-Associative and Non-Commutative Algebra and Operator Theory, Nancaot, Springer Proceedings in Mathematics & Statistics, 160, eds. Gueye C., Molina M., Springer Int Publishing Ag, 2016, 55–81  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    4. Jia X.-Yu., Yao Sh.-K., Wu K., Zhao W.-Zh., “on Yangian Covariance of the Triple Product System With the Rational R-Matrix”, J. Math. Phys., 56:8 (2015), 083506  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    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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