Braided homology of quantum groups

DOI10.1017/is008008021jkt063zbMath1188.58005arXivmath/0701193OpenAlexW3101768739MaRDI QIDQ3652611

Tom Hadfield, Ulrich Krähmer

Publication date: 15 December 2009

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701193

zbMATH Keywords

quantum groupscyclic homologyHochschild homologybraided monoidal categorybraided homologyribbon algebra

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Geometry of quantum groups (58B32) Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (3)

Cyclic homology and group actions ⋮ Twisted Hochschild homology of quantum flag manifolds and Kähler forms ⋮ Periodicity and cyclic homology. Para-\(S\)-modules and perturbation lemmas

Cites Work

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• Twisted cyclic homology of all Podleś quantum spheres
• Semiclassical differential structures
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• On the Hochschild homology of quantum \(\text{SL}(N)\)
• Twisted homology of quantum \(\text{SL}(2)\)
• Twisted Hochschild homology of quantum hyperplanes
• Hochschild Homology in a Braided Tensor Category
• Multiplication alteration by two-cocycles - the quantum version
• Braided cyclic cocycles and nonassociative geometry

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