Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem

DOI10.1016/j.jalgebra.2023.11.028arXiv2306.12937OpenAlexW4389119081MaRDI QIDQ6187309

Satyendra Kumar Mishra, Goutam Mukherjee, Saikat Goswami

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2306.12937

zbMATH Keywords

cohomologyabelian extensionsnon-associative algebrasLie-Yamaguti algebrasinducibility of automorphismswells exact sequence

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Ternary compositions (17A40)

Cites Work

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• Non-abelian cohomology of extensions of Lie algebras as Deligne groupoid
• The Wells exact sequence for the automorphism group of a group extension.
• Automorphisms of Abelian group extensions.
• Irreducible Lie-Yamaguti algebras
• On Killing-Ricci forms of Lie triple algebras
• Geometry of homogeneous Lie loops
• A noncommutative version of Lie algebras: Leibniz algebras
• Non-abelian extensions of Lie 2-algebras
• The classification of nilpotent Lie-Yamaguti algebras
• Simple Malcev algebras over fields of characteristic zero
• On anti-commutative algebras and general Lie triple systems
• On simple algebras obtained from homogeneous general Lie triple systems
• Lie-Yamaguti algebras related to \(\mathfrak g_2\)
• Cohomology theory in abstract groups. II
• The cohomology theory of group extensions
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Low-dimensional non-abelian Leibniz cohomology
• Models for classifying spaces and derived deformation theory
• Malcev Algebras
• Deformations and extensions of Lie–Yamaguti algebras
• EXTENSIONS OF (SUPER) LIE ALGEBRAS
• On non-abelian extensions of Leibniz algebras
• Extensions and automorphisms of Lie algebras
• On Homogeneous Spaces and Reductive Subalgebras of Simple Lie Algebras
• A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces
• On Homogeneous Spaces, Holonomy, and Non-Associative Algebras
• A Note on Triple Systems and Totally Geodesic Submanifolds in a Homogeneous Space
• Automorphisms of Group Extensions
• Lie and Jordan Triple Systems
• Cohomology of Group Extensions
• Cohomology Classes of Finite Type and Finite Dimensional Kernels for Lie Algebras
• Invariant Affine Connections on Homogeneous Spaces
• Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms