The Stable Representation of the algebra of functions on the quantum group SU_q(2)

1994/03/09 by С. В. Козырев, S. V. Kozyrev, Kozyrev, S. V.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9403059

arxiv created 1994/03/09 · openalex publication_date 1994/03/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 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_∞. Formula for the trace in the representation Π is given . The invariant integral of Woronovich on SU_q(2) will take the form ∫ f dμ= tr(f cc^*).

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