Cotensor products of quantum principal bundles

Abstract

A cotensor product AH P of an H-Hopf Galois extension A and a C-coalgebra Galois extension P, such that P is an (H,C)-bicomodule, is analyzed. Conditions are stated, when AH P is a C-coalgebra Galois extension and when there exists a strong connection on AH P. Two examples are given, in both, A and P are Matsumoto spheres, and H=C=C(U(1)).

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