Quantum van Est isomorphism

DOI10.4171/JNCG/580MaRDI QIDQ6619339

Atabey Kaygun, Serkan Sütlü

Publication date: 15 October 2024

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

zbMATH Keywords

quantum groupsvan Est isomorphismHopf-cyclic cohomology

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology of Lie (super)algebras (17B56) Continuous cohomology of Lie groups (22E41) Hopf algebras and their applications (16T05)

Cites Work

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• Cyclic cohomology of Lie algebras
• Monads and comonads on module categories
• Cohomology of topological groups and solvmanifolds
• Differential forms and Lie algebra cohomology for algebraic linear groups
• Homology of Lie groups and Poincaré duality
• Quantum deformation of Lorentz group
• Cohomology of Lie groups
• Hochschild and cyclic homology of quantum groups
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Hopf algebras, cyclic cohomology and the transverse index theorem
• The quantum duality principle
• A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids
• A new cyclic module for Hopf algebras
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• A characteristic map for compact quantum groups
• A quantum duality principle for coisotropic subgroups and Poisson quotients
• Self-adjoint groups
• Hopf-cyclic homology with contramodule coefficients
• Algebraic Groups
• Cup products in Hopf cyclic cohomology with coefficients in contramodules
• Uniqueness of pairings in Hopf-cyclic cohomology
• F_q[M₂],F_q[GL₂], andF_q[SL₂] as Quantized Hyperalgebras
• A NOTE ON CYCLIC DUALITY AND HOPF ALGEBRAS
• Topological Hopf algebras and their Hopf-cyclic cohomology
• Monoidal Categories, 2-Traces, and Cyclic Cohomology
• The global quantum duality principle
• HOPF–CYCLIC HOMOLOGY AND RELATIVE CYCLIC HOMOLOGY OF HOPF–GALOIS EXTENSIONS
• New coefficients for Hopf Cyclic Cohomology
• Homological Algebra of Semimodules and Semicontramodules

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