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arxiv: math/0501160 · v2 · submitted 2005-01-11 · 🧮 math.QA

Cotensor products of quantum principal bundles

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keywords extensiongaloisc-coalgebracotensorwhenanalyzedbicomodulebundles
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A cotensor product A\Box_H 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 A\Box_H P is a C-coalgebra Galois extension and when there exists a strong connection on A\Box_H P. Two examples are given, in both, A and P are Matsumoto spheres, and H=C=C(U(1)).

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