q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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dc.contributor.author	Asherova, R.M.
dc.contributor.author	Burdík, Č.
dc.contributor.author	Havlíček, M.
dc.contributor.author	Smirnov, Y.F.
dc.contributor.author	Tolstoy, V.N.
dc.date.accessioned	2019-02-07T19:04:36Z
dc.date.available	2019-02-07T19:04:36Z
dc.date.issued	2010
dc.identifier.citation	q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) / R.M. Asherova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 81R50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146148
dc.description.abstract	For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining relations. Using this Z-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebra Uq(u(n,1)) which is a real form of Uq(gl(n+1)), namely, an orthonormal Gelfand-Graev basis is constructed in an explicit form.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html. The paper has been supported by grant RFBR-08-01-00392 (R.M.A., V.N.T.) and by grant RFBR-09-01-93106-NCNIL-a (V.N.T.). The fifth author would like to thank Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague for hospitality	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	q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA