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Article Dans Une Revue Annales de l'Institut Fourier Année : 2022

Second cohomology groups of the Hopf$^*$-algebras associated to universal unitary quantum groups

Résumé

We compute the second (and the first) cohomology groups of $^*$-algebras associated to the universal quantum unitary groups of not neccesarily 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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hal-03201692 , version 1 (19-04-2021)

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Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski. Second cohomology groups of the Hopf$^*$-algebras associated to universal unitary quantum groups. Annales de l'Institut Fourier, In press. ⟨hal-03201692⟩
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