Superalgebras, their quantum deformations and the induced representation method

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dc.creatorKy, Nguyen Anh
dc.date1998-10-29
dc.date.accessioned2026-07-07T05:26:38Z
dc.date.available2026-07-07T05:26:38Z
dc.descriptionSome introductory concepts and basic definitions of the Lie superalgebras and their quantum deformations are exposed. Especially the induced representation methods in both cases are described. Based on the Kac representation theory we have succeeded in constructing representations of several higher rank superalgebras. When representations of quantum superalgebras are concerned, we have developed a method which can be applied not only to the one-parametric quantum deformations but also to the multi-parametric ones. As an intermediate step the Gel'fand-Zetlin basis description is extended to the case of superalgebras and their quantum deformations. Our approach also allows us to establish in consistent ways defining relations of quantum (super)algebras. Some illustrations are given.
dc.description39 pages, LaTex. Work based on preprint IC/96/130 and a talk given at the "V-th National Mathematics Conference", Hanoi, 17-20 September 1997. To appear in "Vietnam Journal of Mathematics" (pub. Springer-Verlag)
dc.identifierhttps://arxiv.org/abs/math/9810170
dc.identifierhttp://arxiv.org/abs/math/9810170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77624
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject17A70; 81R50
dc.titleSuperalgebras, their quantum deformations and the induced representation method
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