Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane

dc.contributor.author	Duplij, S.
dc.contributor.author	Sinel’shchikov, S.
dc.date.accessioned	2016-10-01T17:21:57Z
dc.date.available	2016-10-01T17:21:57Z
dc.date.issued	2010
dc.identifier.citation	Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane / S. Duplij, S. Sinel’shchikov // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 4. — С. 406-430. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106653
dc.description.abstract	A complete list of Uq(sl₂)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The composition series of representations in question are computed. The classical limits of the Uq(sl₂)-module algebra structures are discussed.	uk_UA
dc.description.sponsorship	One of the authors (S.D.) is thankful to Yu. Bespalov, J. Cuntz, B. Dragovich, J. Fuchs, A. Gavrilik, H. Grosse, D. Gurevich, J. Lukierski, M. Pavlov, H. Steinacker, Z. Rakic, W. Werner, and S. Woronowicz for fruitful discussions. Also he is grateful to the Alexander von Humboldt Foundation for valuable support as well as to J. Cuntz for kind hospitality at the Mathematisches Institut, Universit¨at M¨unster, where this paper was finalized. Both authors would like to express their gratitude to D. Shklyarov who attracted their attention to the fact that the results of this work were actually valid for q not being a root of unit, rather than for 0 < q < 1. We are also grateful to the referee who pointed out some inconsistencies in a previous version of the paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA