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Unitary Continuous Representations of Compact Quantum Groups

High Energy Physics - Theory 2008-02-03 v1 Operator Algebras Quantum Algebra

Abstract

Generalizing the notion of continuous Hilbert space representations of compact topological groups we define unitary continuous correpresentations of CC^*-completions of compact quantum group Hopf algebras on arbitrary Hilbert spaces. It is proved that the unitary continuous correpresentations decompose in finite dimensional irreducible correpresentations.

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Cite

@article{arxiv.hep-th/9309053,
  title  = {Unitary Continuous Representations of Compact Quantum Groups},
  author = {Bernhard Drabant and Wolfgang Weich},
  journal= {arXiv preprint arXiv:hep-th/9309053},
  year   = {2008}
}

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8 pages