Topology and noncommutative geometry. Transl. from the Russian

DOI10.1007/S10958-006-0092-ZzbMath1089.54500OpenAlexW1993721178MaRDI QIDQ5920572

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Publication date: 29 June 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0092-z

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to general topology (54-06) Collections of translated articles of miscellaneous specific interest (00B55)

Cites Work

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• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential structures on quantum principal bundles
• Quantum group gauge theory on quantum spaces
• Quantum principal bundles and Tannaka-Krein duality theory
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\)
• Geometry of quantum principal bundles. I
• Strong connections on quantum principal bundles
• Geometry of Quantum Principal Bundles II
• The image of the Weil homomorphism in the case of a quantum principal bundle

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