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On some quantum bounded symmetric domains

2005/12/13 by Olga Bershtein, Bershtein, Olga
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #math.RT #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0512262

6 pages

arxiv created 2005/12/13 · arxiv updated 2009/12/01

Abstract

In the framework of quantum group theory we obtain a noncommutative analog for the algebra of functions in a bounded symmetric domain, endowed with a whole symmetry. Also we provide a construction for its faithfull irreducible representation and an invariant integral over the bounded symmetric domain.

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