3 papers
math.QA2026
On the category of Hopf braces
Ana Agore, Alexandru Chirvasitu
Hopf braces are the quantum analogues of skew braces and, as such, their cocommutative counterparts provide solutions to the quantum Yang-Baxter equation. We investigate various pr…
math.CT2025
Dualities for universal (co)acting Hopf monoids
Ana Agore, Alexey Gordienko, Joost Vercruysse
In general, universal (co)measuring (co)monoids and universal (co)acting bi/Hopf monoids, which prove to be a useful tool in the classification of quantum symmetries, do not always…
math.CT2025
Lifting of locally initial objects and universal (co)acting Hopf algebras
Ana Agore, Alexey Gordienko, Joost Vercruysse
The universal (co)acting bi/Hopf algebras introduced by Yu. I. Manin, M. Sweedler and D. Tambara, the universal Hopf algebra of a given (co)module structure, as well as the univers…