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 
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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     title = {Exact calculability, semigroup of representations, and the stability property for representations of the algebra of functions on the quantum group $SU_{q}(2)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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