arXiv Open Access 2021

Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees

Xigou Zhang Anqi Xu Li Guo

Lihat Sumber

Abstrak

By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free Rota-Baxter algebra on angularly decorated rooted forests. We show that this coproduct equips the Rota-Baxter algebra with a bialgebra structure and further a Hopf algebra structure.

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Penulis (3)

Xigou Zhang

Anqi Xu

Li Guo

Format Sitasi

APA MLA BibTeX

Zhang, X., Xu, A., Guo, L. (2021). Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees. https://arxiv.org/abs/2104.04409

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓