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math.QA2018
A Hopf algebra without modular pair in involution
Sebastian Halbig, Ulrich Kraehmer
The aim of this short note is to communicate an example of a finite-dimensional Hopf algebra that does not admit a modular pair in involution in the sense of Connes and Moscovici.
math.QA2018
The nodal cubic and quantum groups at roots of unity
Ulrich Kraehmer, Manuel Martins
In a recent article, the coordinate ring of the nodal cubic was given the structure of a quantum homogeneous space. Here the corresponding coalgebra Galois extension is expressed i…
math.QA2018
(Weak) incidence bialgebras of monoidal categories
Ulrich Kraehmer, Lucia Rotheray
Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The ov…