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arxiv: math/0512262 · v1 · submitted 2005-12-13 · 🧮 math.QA · math.RT

On some quantum bounded symmetric domains

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keywords boundedsymmetricdomainquantumalgebraanalogconstructiondomains
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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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