Hopf Q-braces structures on rank one pointed Hopf algebras

Guccione J.A.; Guccione J.J.; Valqui C. · Journal of Algebra and its Applications (2026) · DOI: 10.1142/s0219498826501495

Resumen

In this paper we determine all the Hopf q-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf q-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute all the weak braiding operators on these Hopf algebras.

Instituciones: Pontificia Universidad Católica del Perú