Cotensor products of quantum principal bundles

2005/01/11 by Bartosz Zieliński, Bartosz Zielinski, Zielinski, Bartosz
Mathematics · #16W30 (Secondary) #81R60 (Primary) 81R50 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W30 #msc:81R50 #msc:81R60

paper · pdf · doi:10.48550/arxiv.math/0501160

28 pages; corrected typographic errors

openalex publication_date 2005/01/11 · arxiv created 2005/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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)).

Related

• Quantum principal bundles up to homotopy equivalence
• Hopf-Galois extensions and twisted Hopf algebroids
• Characterization of principal bundles: the noncommutative algebraic case
• Locally coalgebra-Galois extensions
• Classical gauge theory on quantum principal bundles