Associative algebra deformations of Connes-Moscovici's Hopf algebra \(\mathcal H_1\).

DOI10.1016/j.jalgebra.2009.12.033zbMath1268.16007arXiv0808.3653OpenAlexW2111910653MaRDI QIDQ965187

Alice Fialowski, Friedrich Wagemann

Publication date: 21 April 2010

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

Full work available at URL: https://arxiv.org/abs/0808.3653

zbMATH Keywords

Hochschild cohomologyLie algebra cohomologyRankin-Cohen bracketsConnes-Moscovici Hopf algebrasassociative deformationsFeigin-Fuchs spectral sequencesHochschild-Serre spectral sequences

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Infinite-dimensional Lie (super)algebras (17B65) (K)-theory and homology; cyclic homology and cohomology (19D55) Deformations of associative rings (16S80) Cohomology of Lie (super)algebras (17B56) Hopf algebras and their applications (16T05)

Cites Work

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• Classification of graded Lie algebras with two generators
• Rankin-Cohen brackets and formal quantization
• The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Bialgebra actions, twists, and universal deformation formulas
• Cyclic cohomology and Hopf algebras
• Cohomology of graded Lie algebras of maximal class
• Cohomology and deformations of the infinite-dimensional filiform Lie algebra \(\mathfrak m_0\)
• On the deformation of rings and algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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