Weak Hopf algebra structures on hybrid numbers

Fuente: arXiv
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Main Authors: Jiangang, Tang, Quanguo, Chen
Format: Preprint
Published: 2024
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_version_ 1866912168054620160
author Jiangang, Tang
Quanguo, Chen
author_facet Jiangang, Tang
Quanguo, Chen
contents Let $\mathbb{K}$ be the set of hybrid numbers. This paper is to look for all the weak Hopf structures on $\mathbb{K}$. Once $\mathbb{K}$ is endowed with a structure of a weak Hopf algebra, we shall compute the source algebra and target algebra of $\mathbb{K}$. Also, we shall discuss the integrals in such weak Hopf algebra $\mathbb{K}$.
format Preprint
id arxiv_https___arxiv_org_abs_2410_02313
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Weak Hopf algebra structures on hybrid numbers
Jiangang, Tang
Quanguo, Chen
Rings and Algebras
Let $\mathbb{K}$ be the set of hybrid numbers. This paper is to look for all the weak Hopf structures on $\mathbb{K}$. Once $\mathbb{K}$ is endowed with a structure of a weak Hopf algebra, we shall compute the source algebra and target algebra of $\mathbb{K}$. Also, we shall discuss the integrals in such weak Hopf algebra $\mathbb{K}$.
title Weak Hopf algebra structures on hybrid numbers
topic Rings and Algebras
url https://arxiv.org/abs/2410.02313