Second cohomology groups of the hopf*-algebras associated to universal unitary quantum groups
arXiv (Cornell University)(2023)
Abstract
We compute the second (and the first) cohomology groups of *algebras associated with the universal quantum unitary groups of not necessarily Kac type, extending our earlier results for the free unitary group U-d(+). The extended setup forces us to use infinite-dimensional representations to construct the cocycles.
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Key words
universal unitary quantum groups,second cohomology groups
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