A review on comodule-bialgebras
type: Item
instance of: scholarly article
title: A review on comodule-bialgebras
zbMATH Open document ID: 1450.16023
DOI: 10.1007/978-3-030-01593-0_20
author: Dominique Manchon
publication date: 2019-03-22T00:00:00Z
review text: This paper is a review of recent uses of comodule-bialgebras in various domains of mathematics, including combinatorics, analysis or quantum field theories. The main examples are based on words (related to Ecalle's mould calculus) or on trees (related to Ecalle's arborified moulds or to B-series). Other examples are based on cycle-free graphs, on posets or on finite topological spaces. It is also explained how these objects are used for the study of regularity structures. The paper ends with an example (based on trees) of a infinite family of comodule-bialgebras, all on the same bialgebra. For the entire collection see [Zbl 1410.60006].
reviewed by: Loïc Foissy
Mathematics Subject Classification ID: 16T15
Mathematics Subject Classification ID: 05E16
Mathematics Subject Classification ID: 16T10
Mathematics Subject Classification ID: 81T17
zbMATH DE Number: 7040552
zbMATH Keywords: comodule-bialgebra
zbMATH Keywords: mould calculus
zbMATH Keywords: regularity structure
MaRDI profile type: Publication
full work available at URL: 978-3-030-01593-0 20
OpenAlex ID: W2909176335
description: scientific article; zbMATH DE number 7040552