Compatibility axioms for left-regular bands to construct Hopf algebras

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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Hauptverfasser: Hao, Lingxiao, Zhu, Shenglin
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2411.12204