Homology and cohomology of the lamplighter Lie algebra

DOI10.1134/S0081543822040101MaRDI QIDQ2099706

Dmitry V. Millionshchikov

Publication date: 18 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cohomologyhomologylamplighter grouppronilpotent completionLie algebra of maximal class\( \mathfrak{sl}_2\)-module

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Differential geometry (53-XX)

Cites Work

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• Narrow algebras and groups
• Cohomology of Lie algebras of formal vector fields on the line
• The homology of the lamplighter Lie algebra
• Homological properties of parafree Lie algebras
• On Lie $p$-algebras of cohomological dimension one
• Cohomology of graded Lie algebras of maximal class
• Rational homotopy theory
• On torsion-free groups with infinitely many ends
• Homotopy limits, completions and localizations
• Ends of Lie algebras
• Symmetrization in the geometric theory of functions of a complex variable
• Higher order Massey products and applications
• Homology of the completion of a Lie algebra
• Lamplighter Groups
• Naturally graded Lie algebras of slow growth
• Cohomology of certain $ \mathbb N$-graded Lie algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Groups of cohomological dimension one

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