Geodesic
Exact calculability, semigroup of representations, and the stability property for representations of the algebra of functions on the quantum group $SU_{q}(2)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 163-178 Cet article a éte moissonné depuis la source Math-Net.Ru

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An operation of a coproduct of representations of a bialgebra is defined. The coproduct operation for representations of the Hopf algebra of functions on the quantum group $SU_{q}(2)$ is investigated. A notion of a stable representation $\Pi$ is introduced. This means that the representation $\Pi$ is invariant under coproduct by arbitrary representation. Formula for the trace in the representation $\Pi$ is given. The invariant integral of Woronovich on $SU_{q}(2)$ will take the form $\int f d\mu = (1-q^{2}){\rm tr}\,(fcc^{*})$. 
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S. V. Kozyrev. Exact calculability, semigroup of representations, and the stability property for representations of the algebra of functions on the quantum group $SU_{q}(2)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 163-178. http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a0/

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