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arXiv · 2305.00482

Rota-Baxter systems of Hopf algebras and Hopf trusses

Zhonghua Li·Shukun Wang
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Abstract

As Hopf truss analogues of Rota-Baxter Hopf algebras, the notion of Rota-Baxter systems of Hopf algebras is proposed. We study the relatiohship between Rota-Baxter systems of Hopf algebras and Rota-Baxter Hopf algebras, show that there is a Rota-Baxter system structure on the group algebra if the group has a Rota-Baxter system structure, investigate the descendent Hopf algebra of a Rota-Baxte system of Hopf algebras. Finally we study the local decomposition of the character group from a Rota-Baxter system of Hopf algebras to a commutative algebra.

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Zhonghua Li, Shukun Wang. 2023-04-30. Rota-Baxter systems of Hopf algebras and Hopf trusses. https://arxiv.org/abs/2305.00482

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