The Stable Representation of the algebra of functions on the quantum group $SU_{q}(2)$

dc.creatorKozyrev, S. V.
dc.date1994-03-09
dc.date.accessioned2026-07-07T04:20:05Z
dc.date.available2026-07-07T04:20:05Z
dc.descriptionAn 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 $Π$ is introdused. This means that the representation $Π$ is invariant under coproduct by arbitrary representation. Algebra of functions on the quantum group $SU_{q}(2)$ in the representation $Π$ is a factor of a type II$_{\infty}$. Formula for the trace in the representation $Π$ is given . The invariant integral of Woronovich on $SU_{q}(2)$ will take the form $\int f dμ= tr(f cc^{*})$.
dc.identifierhttps://arxiv.org/abs/hep-th/9403059
dc.identifierhttp://arxiv.org/abs/hep-th/9403059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53823
dc.subjectHigh Energy Physics - Theory
dc.titleThe Stable Representation of the algebra of functions on the quantum group $SU_{q}(2)$
dc.typetext

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