Publication
Title
General twisting of algebras
Author
Abstract
We introduce the concept of pseudotwistor (with particular cases called twistor and braided twistor) for an algebra (A, mu, u) in a monoidal category, as a morphism T: A circle times A -> A circle times A satisfying a list of axioms ensuring that (A, mu o T, u) is also an algebra in the category. This concept provides a unifying framework for various deformed (or twisted) algebras from the literature, such as twisted tensor products of algebras, twisted bialgebras and algebras endowed with Fedosov products. Pseudotwistors appear also in other topics from the literature, e.g. Durdevich's braided quantum groups and ribbon algebras. We also focus on the effect of twistors on the universal first order differential calculus, as well as on lifting twistors to braided twistors on the algebra of universal differential forms. (C) 2006 Elsevier Inc. All rights reserved.
Language
English
Source (journal)
Advances in mathematics. - New York, N.Y.
Publication
New York, N.Y. : 2007
ISSN
0001-8708
Volume/pages
212:1(2007), p. 315-337
ISI
000247015700011
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 17.11.2017
To cite this reference