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dc.contributor.author Tsujimoto, S.
dc.contributor.author Vinet, L.
dc.contributor.author Zhedanov, A.
dc.date.accessioned 2019-02-14T17:43:42Z
dc.date.available 2019-02-14T17:43:42Z
dc.date.issued 2011
dc.identifier.citation From slq(2) to a Parabosonic Hopf Algebra / S. Tsujimoto, L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 24 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 17B37; 17B80; 33C45
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147403
dc.description.abstract A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated by sl₋₁(2), this algebra encompasses the Lie superalgebra osp(1|2). It is obtained as a q=−1 limit of the slq(2) algebra and seen to be equivalent to the parabosonic oscillator algebra in irreducible representations. It possesses a noncocommutative coproduct. The Clebsch-Gordan coefficients (CGC) of sl₋₁(2) are obtained and expressed in terms of the dual −1 Hahn polynomials. A generating function for the CGC is derived using a Bargmann realization. uk_UA
dc.description.sponsorship The authors are grateful to M.S. Plyushchay for drawing their attention to [5] and [14]. The authors would like to gratefully acknowledge the hospitality extended to LV and AZ by Kyoto University and to ST and LV by the Donetsk Institute for Physics and Technology in the course of this investigation. The research of ST is supported in part through funds provided by KAKENHI (22540224), JSPS. The research of LV is supported in part by a research grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title From slq(2) to a Parabosonic Hopf Algebra uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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