Hopf q-braces structures on rank one pointed Hopf algebras
Quantum Algebra
2024-08-08 v1
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.
Keywords
Cite
@article{arxiv.2408.03863,
title = {Hopf q-braces structures on rank one pointed Hopf algebras},
author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
journal= {arXiv preprint arXiv:2408.03863},
year = {2024}
}
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14 pages