ON BIALGEBRAS AND HOPF ALGEBRAS OF ORIENTED GRAPHS

Q4 Mathematics

Confluentes Mathematici Pub Date : 2010-11-12 DOI:10.1142/S1793744212400038

D. Manchon

引用次数: 26

Abstract

We define two coproducts for cycle-free oriented graphs, thus building up two commutative connected graded Hopf algebras, such that one is a comodule-coalgebra on the other, thus generalizing the result obtained in [2] for Hopf algebras of rooted trees.

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论有向图的双代数和hopf代数

我们对无环有向图定义了两个余积，从而建立了两个可交换连通的分级Hopf代数，使得一个代数在另一个代数上是商余代数，从而推广了[2]中关于有根树Hopf代数的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.