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arXiv · 2411.12204

Compatibility axioms for left-regular bands to construct Hopf algebras

Lingxiao Hao·Shenglin Zhu
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Abstract

Aguiar and Mahajan provided several coalgebra axioms and algebra axioms for a family of left-regular bands to construct a commutative diagram of algebras and coalgebras. In this paper, we will add compatibility axioms to make it a diagram of Hopf algebras.

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Lingxiao Hao, Shenglin Zhu. 2024-11-19. Compatibility axioms for left-regular bands to construct Hopf algebras. https://arxiv.org/abs/2411.12204

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