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Locally coalgebra-Galois extensions

Bartosz Zielinski
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Abstract

The paper introduces the notion of a locally coalgebra-Galois extension and, as its special case, a locally cleft extension. The necessary and sufficient conditions for a locally coalgebra-Galois extension to be a (global) coalgebra-Galois extension are stated. As an important special case, it is proven, that under not very restrictive conditions the gluing of two locally cleft extensions is a globally coalgebra-Galois extension. As an example, the quantum lens space of positive charge is constructed by gluing of two quantum solid tori.

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BibTeXRIS

Bartosz Zielinski. 2005-12-07. Locally coalgebra-Galois extensions. https://arxiv.org/abs/math/0512150

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