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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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Hao, Lingxiao, Zhu, Shenglin
Format: Artikel
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.
ISSN:2331-8422