一阶尖霍普夫代数上的霍普夫 q 带结构

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-07 DOI:arxiv-2408.03863

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

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摘要

在本文中，我们确定了秩为单点的霍普夫代数上的所有霍普夫 q-阶带结构，并计算了其中每个结构的 socle。我们还确定了其中哪些是霍普夫斜带。然后，我们确定秩一尖霍普夫布拉斯上的两个霍普夫q布拉斯结构何时同构，最后，我们计算这些霍普夫布拉斯上的所有弱编织算子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hopf q-braces structures on rank one pointed Hopf algebras

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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arXiv - MATH - Quantum Algebra

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