Heisenberg-Type Families in Uq(sl₂)

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Zuevsky, A.
dc.date.accessioned	2019-02-19T19:27:47Z
dc.date.available	2019-02-19T19:27:47Z
dc.date.issued	2009
dc.identifier.citation	Heisenberg-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.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17B37; 20G42; 81R50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149257
dc.description.abstract	Using 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.sponsorship	This 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.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	Heisenberg-Type Families in Uq(sl₂)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA