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2026•Journal of Algebra and Its ApplicationsOpen access

On coherent Hopf 2-algebras

Xiao Han

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Abstract

We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in [5]. We also study quasi coassociative Hopf coquasigroups, and show that they give rise to coherent Hopf 2-algebras with nontrivial coassociators. As an example, we investigate the algebra of functions on a Cayley algebra basis.

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We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in [5]. We also study quasi coassociative Hopf coquasigroups, and show that they give rise to coherent Hopf 2-algebras with nontrivial coassociators. As an example, we investigate the algebra of functions on a Cayley algebra basis.

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Available abstract

We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in [5]. We also study quasi coassociative Hopf coquasigroups, and show that they give rise to coherent Hopf 2-algebras with nontrivial coassociators. As an example, we investigate the algebra of functions on a Cayley algebra basis.

Key concepts: Hopf algebra, Representation theory of Hopf algebras, Quantum group, Quasitriangular Hopf algebra, Mathematics, Algebra over a field, Pure mathematics, Constructive

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