Title
General twisting of algebras General twisting of algebras
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Advances in mathematics. - New York, N.Y.
Volume/pages
212(2007) :1 , p. 315-337
ISSN
0001-8708
ISI
000247015700011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
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