English

Compatibility axioms for left-regular bands to construct Hopf algebras

Combinatorics 2024-11-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2411.12204,
  title  = {Compatibility axioms for left-regular bands to construct Hopf algebras},
  author = {Lingxiao Hao and Shenglin Zhu},
  journal= {arXiv preprint arXiv:2411.12204},
  year   = {2024}
}