Homology of multiplicative Lie rings

DOI10.1016/j.jpaa.2006.03.029zbMath1138.18007OpenAlexW2076796090WikidataQ115345618 ScholiaQ115345618MaRDI QIDQ861870

Guram Donadze, Anthony Bak, Niko Inassaridze, Manuel Ladra Gonzalez

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.03.029

zbMATH Keywords

cyclic homologyK-theorymultiplicative Lie ring

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Steinberg groups and (K_2) (19C99)

Related Items (11)

Second cohomology of multiplicative Lie rings and Schreier's extension theory ⋮ Theory of Extensions of Multiplicative Lie Algebras ⋮ Multiplicative Lie algebras and Schur multiplier ⋮ Isoclinism of pairs of Lie rings ⋮ Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem ⋮ Schur multiplier and (residual) nilpotent Lie rings ⋮ Lie commutator, solvability and nilpotency in multiplicative Lie algebras ⋮ The Bogomolov multiplier of Lie algebras ⋮ Non-abelian tensor and exterior products of multiplicative Lie rings ⋮ A colimit of classifying spaces ⋮ Schur multipliers and the Lazard correspondence.

Cites Work

• Van Kampen theorems for diagrams of spaces
• Schur multiplier of a group of elementary matrices of finite order
• Central extensions of Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Nilpotency criteria for multiplicative Lie algebras
• Spectral sequences of a double semi-simplicial group
• Introduction to Algebraic K-Theory. (AM-72)
• The Second Homology Group of a Group; Relations among Commutators
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