Heisenberg-Type Families in Uq(sl₂)

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dc.contributor.authorZuevsky, A.
dc.date.accessioned2019-02-19T19:27:47Z
dc.date.available2019-02-19T19:27:47Z
dc.date.issued2009
dc.description.abstractUsing the second Drinfeld formulation of the quantized universal enveloping algebra Uq(sl₂) we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 19–22, 2008, Prague, Czech Republic). We would like to thank A. Perelomov, D. Talalaev and M. Tuite for illuminating discussions and comments. Making use of the occasion, the author would like to express his gratitude to the Max-Planck-Institut f¨ur Mathematik in Bonn where this work has been completed.uk_UA
dc.identifier.citationHeisenberg-Type Families in Uq(sl₂) / A. Zuevsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 17B37; 20G42; 81R50
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149257
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHeisenberg-Type Families in Uq(sl₂)uk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік