Dualizations and antipodes
type: Item
instance of: scholarly article
title: Dualizations and antipodes
zbMATH Open document ID: 1023.18008
DOI: 10.1023/A:1024236601870
author: D. Massart
published in: Applied Categorical Structures
publication date: 2003-08-21T00:00:00Z
review text: The authors define and study left dualisations for pseudomonoids in right autonomous bicategories. A pseudomonoid with a left dualisation is called left autonomous. Examples are given by left autonomous monoidal \({\mathcal V}\)-categories in enriched category theory and by quasi-Hopf algebras. There is an analogous notion of right dualisation, and a pseudomonoid with both left and right dualisations is called autonomous. The authors develop a notion of autonomous monoidal lax functor. They also develop a representation theory for monoidal bicategories and apply it to quasi-Hopf algebras.
reviewed by: Richard John Steiner
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 18D20
zbMATH DE Number: 1968814
zbMATH Keywords: monoidal bicategory
zbMATH Keywords: pseudomonoid
zbMATH Keywords: autonomous monoidal lax functor
zbMATH Keywords: quasi-Hopf algebra
zbMATH Keywords: enriched category
zbMATH Keywords: bidual
MaRDI profile type: Publication
full work available at URL: a:1024236601870
OpenAlex ID: W2151272366
Wikidata QID: Q56687279
description: scientific article; zbMATH DE number 1968814