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arXiv · 2408.03863

Hopf q-braces structures on rank one pointed Hopf algebras

Jorge A. Guccione·Juan J. Guccione·Christian Valqui
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Abstract

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.

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BibTeXRIS

Jorge A. Guccione, Juan J. Guccione, Christian Valqui. 2024-08-07. Hopf q-braces structures on rank one pointed Hopf algebras. https://arxiv.org/abs/2408.03863

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