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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F99%3A00020557%21RIV15-MSM-21340___
rdf:type
n9:Vysledek skos:Concept
rdfs:seeAlso
http://link.aip.org/link/?JMAPAQ/40/2135/1
dcterms: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.
dcterms:title
Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)
skos:prefLabel
Representations of the Cyclically Symetric q-Deformed Algebra Soq(3) Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)
skos:notation
RIV/68407700:21340/99:00020557!RIV15-MSM-21340___
n4:aktivita
n14:Z
n4:aktivity
Z(MSM 210000018)
n4:cisloPeriodika
4
n4:dodaniDat
n8:2015
n4:domaciTvurceVysledku
n16:2933047 n16:6643035
n4:druhVysledku
n11:J
n4:duvernostUdaju
n13:S
n4:entitaPredkladatele
n7:predkladatel
n4:idSjednocenehoVysledku
752715
n4:idVysledku
RIV/68407700:21340/99:00020557
n4:jazykVysledku
n20:eng
n4:klicovaSlova
q-deformed algebra; homomorphism; representation; tensor product; Lie algebra
n4:klicoveSlovo
n5:representation n5:tensor%20product n5:homomorphism n5:q-deformed%20algebra n5:Lie%20algebra
n4:kodStatuVydavatele
US - Spojené státy americké
n4:kontrolniKodProRIV
[25E676792B5D]
n4:nazevZdroje
Journal of Mathematical Physics
n4:obor
n18:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:rokUplatneniVysledku
n8:1999
n4:svazekPeriodika
40
n4:tvurceVysledku
Pošta, Severin Havlíček, Miloslav Klimyk, A. U.
n4:wos
000079408700029
n4:zamer
n19:MSM%20210000018
s:issn
0022-2488
s:numberOfPages
27
n12:doi
10.1063/1.532856
n17:organizacniJednotka
21340