Cocyclic complexes of Hopf algebras with special antipodes

DOI10.1080/00927872.2021.1980579zbMath1506.16043OpenAlexW3204944305MaRDI QIDQ5037607

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Publication date: 1 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1980579

zbMATH Keywords

Gerstenhaber algebrasBatalin-Vilkovisky algebrasGerstenhaber-Schack cohomologybialgebra paircocyclic homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Hopf algebras and their applications (16T05) Operads (general) (18M60) Other (co)homology theories (category-theoretic aspects) (18G90)

Cites Work

• Homologie nicht-additiver Funktoren. Anwendungen
• Invariant cyclic homology
• When Ext is a Batalin-Vilkovisky algebra
• Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
• Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product.
• The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations
• Bialgebra cohomology, deformations, and quantum groups.
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