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http -> https (the question has been bumped anyway)
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Martin Sleziak
Martin Sleziak
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If you are happy to work with the Operator Algebra approach to quantum groups, then Woronowicz's definition of a Compact Quantum GroupCompact Quantum Group admits a perfect analogue of the Peter-Weyl theorem (looking at unitary corepresentations). The Wikipedia page doesn't give any references, but a good (and freely available) survey is: arXiv:math/9803122v1 [math.FA]arXiv:math/9803122v1 [math.FA].

But maybe this isn't what you're after...

If you are happy to work with the Operator Algebra approach to quantum groups, then Woronowicz's definition of a Compact Quantum Group admits a perfect analogue of the Peter-Weyl theorem (looking at unitary corepresentations). The Wikipedia page doesn't give any references, but a good (and freely available) survey is: arXiv:math/9803122v1 [math.FA].

But maybe this isn't what you're after...

If you are happy to work with the Operator Algebra approach to quantum groups, then Woronowicz's definition of a Compact Quantum Group admits a perfect analogue of the Peter-Weyl theorem (looking at unitary corepresentations). The Wikipedia page doesn't give any references, but a good (and freely available) survey is: arXiv:math/9803122v1 [math.FA].

But maybe this isn't what you're after...

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Matthew Daws
Matthew Daws
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If you are happy to work with the Operator Algebra approach to quantum groups, then Woronowicz's definition of a Compact Quantum Group admits a perfect analogue of the Peter-Weyl theorem (looking at unitary corepresentations). The Wikipedia page doesn't give any references, but a good (and freely available) survey is: arXiv:math/9803122v1 [math.FA].

But maybe this isn't what you're after...