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arXiv · 1203.0037

Equivalent crossed products and cross product bialgebras

Florin Panaite
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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.

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Florin Panaite. 2012-02-29. Equivalent crossed products and cross product bialgebras. https://arxiv.org/abs/1203.0037

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