Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies

DOI10.1016/j.jpaa.2021.106903zbMath1486.81127arXiv2010.07505OpenAlexW3196945335MaRDI QIDQ2078385

Tekin Karadağ

Publication date: 28 February 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07505

zbMATH Keywords

Hochschild cohomologyGerstenhaber bracketHopf algebra cohomologytaft algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantization in field theory; cohomological methods (81T70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Hopf algebras and their applications (16T05)

Related Items (2)

Lie brackets on Hopf algebra cohomology ⋮ Lie structure on Hopf algebra cohomology

Cites Work

• Unnamed Item
• An alternate approach to the Lie bracket on Hochschild cohomology
• Tate and Tate-Hochschild cohomology for finite dimensional Hopf algebras.
• The Lie structure on the Hochschild cohomology of a modular group algebra.
• Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
• Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product.
• The cohomology structure of an associative ring
• G-structure on the cohomology of Hopf algebras
• Hochschild Cohomology for Algebras
• Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology

This page was built for publication: Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies