About: Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)

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Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.aip.org/link/?JMAPAQ/40/2135/1
Description	An algebra homomorphism from the nonstandard q-deformed (cyclically symmetric) algebra Uq(so3) to the extension Uq(sl2) of the Hopf algebra Uq(sl2) is constructed. Not all irreps of Uq(sl2) can be extended to representations of ext. Uq(sl2). Composing the homomorphism with irreducible representations of ext. Uq(sl2) we obtain representations of Uq(so3). Not all of these representations of Uq(so3) are irreducible. Reducible representations of Uq(so3) are decomposed into irreducible components. In this way we obtain all irreducible representations of Uq(so3) when q is not a root of unity. A part of these representations turns into irreducible representations of the Lie algebra so3 when q=1. Representations of the other part have no classical analog. Using the homomorphism it is shown how to construct tensor products of finite-dimensional representations of Uq(so3). Irreducible representations of Uq(so3) when q is a root of unity are constructed by means of the homomorphism. An algebra homomorphism from the nonstandard q-deformed (cyclically symmetric) algebra Uq(so3) to the extension Uq(sl2) of the Hopf algebra Uq(sl2) is constructed. Not all irreps of Uq(sl2) can be extended to representations of ext. Uq(sl2). Composing the homomorphism with irreducible representations of ext. Uq(sl2) we obtain representations of Uq(so3). Not all of these representations of Uq(so3) are irreducible. Reducible representations of Uq(so3) are decomposed into irreducible components. In this way we obtain all irreducible representations of Uq(so3) when q is not a root of unity. A part of these representations turns into irreducible representations of the Lie algebra so3 when q=1. Representations of the other part have no classical analog. Using the homomorphism it is shown how to construct tensor products of finite-dimensional representations of Uq(so3). Irreducible representations of Uq(so3) when q is a root of unity are constructed by means of the homomorphism. (en)
Title	Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) (en)
skos:prefLabel	Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) (en)
skos:notation	RIV/68407700:21340/99:00020557!RIV15-MSM-21340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 210000018)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Pošta, Severin Havlíček, Miloslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	752715
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/99:00020557
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	q-deformed algebra; homomorphism; representation; tensor product; Lie algebra (en)
http://linked.open.../riv/klicoveSlovo	representation Lie algebra homomorphism q-deformed algebra tensor product
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[25E676792B5D]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	1999
http://linked.open...v/svazekPeriodika	40
http://linked.open...iv/tvurceVysledku	Havlíček, Miloslav Pošta, Severin Klimyk, A. U.
http://linked.open...ain/vavai/riv/wos	000079408700029
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20210000018
issn	0022-2488
number of pages	27 (xsd:int)
http://bibframe.org/vocab/doi	10.1063/1.532856
http://localhost/t...ganizacniJednotka	21340

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