QUANTUM GROUP COVARIANT SYSTEMS

Type: Book-Chapter

Publication Date: 1996-06-01

Citations: 10

DOI: https://doi.org/10.1142/9789812830425_0006

Abstract

From Field Theory to Quantum Groups, pp. 99-111 (1996) No AccessQUANTUM GROUP COVARIANT SYSTEMSM. CHAICHIAN and P. P. KULISHM. CHAICHIANHigh Energy Physics Laboratory, Department of Physics, Research Institute for High Energy Physics, P. O. Box 9 (Siltavuorenpenger 20C), University of Helsinki, Helsinki SF-00014, Finland and P. P. KULISHSt.Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St.Petersburg, 191011, Russiahttps://doi.org/10.1142/9789812830425_0006Cited by:5 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: The meaning of quantum group transformation properties is discussed when instead of the Lie group the corresponding quantum group is used while the algebraic (matrix) form of the transformation looks the same. Different algebras are considered which are covariant with respect to the quantum (super) groups SUq(2), SUq(1,1), SUq(1|1), SUq(n), SUq(m|n), OSpq,(l|2) as well as deformed Minkowski space-time algebras. FiguresReferencesRelatedDetailsCited By 5Hopf algebra structure on superspace ${\rm SP}_q^{2|1}$Salih Celik31 December 2019 | Hacettepe Journal of Mathematics and StatisticsQuantum integrability and quantum groups: a special issue in memory of Petr P KulishNikolai Kitanine, Rafael I Nepomechie and Nicolai Reshetikhin16 February 2018 | Journal of Physics A: Mathematical and Theoretical, Vol. 51, No. 11Universal T-matrix, representations of OSpq(1∕2) and little Q-Jacobi polynomialsN. Aizawa, R. Chakrabarti, S. S. Naina Mohammed and J. Segar1 Dec 2006 | Journal of Mathematical Physics, Vol. 47, No. 12Some comments on q-deformed oscillators and q-deformed su(2) algebrasL. C. Kwek and C. H. Oh1 Aug 1998 | The European Physical Journal C, Vol. 5, No. 1Dynamic systems related to the Cremmer-GervaisR-matrixE. V. Damaskinskii, P. P. Kulish and M. Chaichian1 Jul 1998 | Theoretical and Mathematical Physics, Vol. 116, No. 1 From Field Theory to Quantum GroupsMetrics History PDF download

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