Hopf-cyclic cohomology of quantum enveloping algebras

DOI10.4171/JNCG/238zbMath1404.16005arXiv1409.4002OpenAlexW3102257710MaRDI QIDQ740097

Atabey Kaygun, Serkan Sütlü

Publication date: 12 August 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4002

zbMATH Keywords

noncommutative geometryquantum groupsHopf-cyclic cohomologyquantum enveloping algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Ring-theoretic aspects of quantum groups (16T20)

Related Items (2)

Hochschild cohomology of reduced incidence algebras ⋮ A characteristic map for compact quantum groups

Cites Work

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• Hopf cyclic cohomology and transverse characteristic classes.
• Principal homogeneous spaces for arbitrary Hopf algebras
• Excision in Hopf cyclic homology.
• Cyclic cohomology of Hopf algebras of transverse symmetries in codimension 1.
• Characteristic classes of foliations via SAYD-twisted cocycles
• Cohomology of infinitesimal quantum groups. I
• Cohomology of quantum groups at roots of unity
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Cohomology of quantum general linear groups
• SAYD modules over Lie-Hopf algebras.
• A new cyclic module for Hopf algebras
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• Geometric construction of Hopf cyclic characteristic classes
• Bicrossproduct approach to the Connes-Moscovici Hopf algebra.
• On the Hochschild homology of quantum \(\text{SL}(N)\)
• Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology
• Calabi–Yau Coalgebras
• Cohomology of Quantum Groups: the Quantum Dimension
• Cyclic cohomology of Hopf algebras

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