On the anti-Yetter-Drinfeld module-contramodule correspondence

DOI10.4171/JNCG/327zbMath1427.19003arXiv1704.06552MaRDI QIDQ2327768

Ilya L. Shapiro

Publication date: 15 October 2019

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

Full work available at URL: https://arxiv.org/abs/1704.06552

zbMATH Keywords

contramodulesanti-Yetter-Drinfeld modulesCyclic cohomology

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Preadditive, additive categories (18E05) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (5)

Contramodules over pro-perfect topological rings ⋮ Centres, trace functors, and cyclic cohomology ⋮ When Ext is a Batalin-Vilkovisky algebra ⋮ Mixed vs stable anti-Yetter-Drinfeld contramodules ⋮ Invariance properties of cyclic cohomology with coefficients

Cites Work

• Unnamed Item
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology and Hopf algebras
• Anti-Yetter-Drinfeld modules for quasi-Hopf algebras
• A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• Invariance properties of cyclic cohomology with coefficients
• Integrals for Hopf algebras
• Hopf-cyclic homology with contramodule coefficients
• Monoidal Categories, 2-Traces, and Cyclic Cohomology
• Homological Algebra of Semimodules and Semicontramodules

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