Homology of multiplicative Lie rings
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Publication:861870
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
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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