On Function Theory in Quantum Disc: Covariance

1998/08/07 by D. Shklyarov, Shklyarov, D., S. Sinel’shchikov +4 · 1 citation
Mathematics · #81R50 (Primary) 81Q99 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Quantum Algebra (math.QA) #math.CV #math.FA #math.QA #msc:81Q99 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9808037

LaTeX 2.09, 16 pages, [email protected], [email protected]

arxiv created 1998/08/07 · openalex publication_date 1998/08/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our previous work (math.QA/9808015) introduces the basic notions and announces some results on function theory in the quantum disc. The present paper establishes a relationship between those results and the quantum groups theory.

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• An operator-theoretic approach to invariant integrals on quantum homogeneous sl_n+1(R)-spaces

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