Equivalent crossed products and cross product bialgebras
Quantum Algebra
2012-08-23 v2 Rings and Algebras
Abstract
In a previous paper we proved a result of the type "invariance under twisting" for Brzezinski's crossed products. In this paper we prove a converse of this result, obtaining thus a characterization of what we call equivalent crossed products. As an application, we characterize cross product bialgebras (in the sense of Bespalov and Drabant) that are equivalent (in a certain sense) to a given cross product bialgebra in which one of the factors is a bialgebra and whose coalgebra structure is a tensor product coalgebra.
Cite
@article{arxiv.1203.0037,
title = {Equivalent crossed products and cross product bialgebras},
author = {Florin Panaite},
journal= {arXiv preprint arXiv:1203.0037},
year = {2012}
}
Comments
15 pages