2005/12/07 by Bartosz Zielinski, Zielinski, Bartosz
Mathematics · #81R50 #81R60 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:81R50 #msc:81R60
paper · pdf · doi:10.48550/arxiv.math/0512150
48 Pages
arxiv created 2005/12/07 · arxiv updated 2009/12/01
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.