"0022-2488" . "27"^^ . "RIV/68407700:21340/99:00020557" . "2"^^ . "40" . . "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 . . . . "000079408700029" . . "3"^^ . . . "q-deformed algebra; homomorphism; representation; tensor product; Lie algebra"@en . "RIV/68407700:21340/99:00020557!RIV15-MSM-21340___" . "Po\u0161ta, Severin" . . "10.1063/1.532856" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . "Havl\u00ED\u010Dek, Miloslav" . "http://link.aip.org/link/?JMAPAQ/40/2135/1" . "Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)" . . "21340" . . "Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)" . . "Journal of Mathematical Physics" . "4" . "Klimyk, A. U." . "Z(MSM 210000018)" . . . "752715" . "[25E676792B5D]" . . "Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)"@en . . "Representations of the Cyclically Symetric q-Deformed Algebra Soq(3)"@en . "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." . .