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Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras
Isabelle Baraquin, Uwe Franz, Malte Gerhold +2
We find a finite free resolution of the counit of the free unitary quantum groups of van Daele and Wang and, more generally, Bichon's universal cosovereign Hopf algebras with a gen…
Schoenberg correspondence for multifaced independence
Malte Gerhold
We extend the Schoenberg correspondence for universal independences by Schürmann \& Voß to the multivariate setting of Manzel \& Schürmann, covering, e.g., Voiculescu's bifreeness…
Homological properties of quantum permutation algebras
Julien Bichon, Uwe Franz, Malte Gerhold
We show that , the coordinate algebra of Wang's quantum permutation group, is Calabi-Yau of dimension when , and compute its Hochschild cohomology with trivial…
Additive Deformations of Braided Hopf Algebras
Malte Gerhold, Stefan Kietzmann, Stephanie Lachs
Additive deformations of bialgebras in the sense of J. Wirth, i.e. deformations of the multiplication map fulfilling a certain compatibility condition w.r.t. the coalgebra structur…
Additive Deformations of Hopf Algebras
Malte Gerhold
Additive deformations of bialgebras in the sense of Wirth are deformations of the multiplication map of the bialgebra fulfilling a compatibility condition with the coalgebra struct…