On metric Leibniz algebras and deformations

DOI10.1142/S0218196722500266zbMath1485.17008arXiv2007.11908WikidataQ114072942 ScholiaQ114072942MaRDI QIDQ5075707

Ashis Mandal, Alice Fialowski

Publication date: 11 May 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11908

zbMATH Keywords

deformationsLeibniz algebrasinvariant inner products

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (1)

On cohomology and deformations of Jacobi-Jordan algebras

Cites Work

• The classification of 4-dimensional Leibniz algebras
• Naturally reductive pseudo-Riemannian spaces
• Leibniz gauge theories and infinity structures
• On the structure of pseudo-Riemannian symmetric spaces
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• The solution to a generalized Toda lattice and representation theory
• Systems of Toda type, inverse spectral problems, and representation theory
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories
• On classification of 5-dimensional solvable Leibniz algebras
• On the deformation of rings and algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• Description of solvable Leibniz algebras with four-dimensional nilradical
• Classification of quadratic Lie algebras of low dimension
• Conformal representations of Leibniz algebras
• Versal Deformations of Leibniz Algebras
• Algèbres de Lie et produit scalaire invariant
• Higher-dimensional kinematical Lie algebras via deformation theory
• Moduli spaces of low-dimensional Lie superalgebras
• Classification of three dimensional complex Leibniz algebras
• Lie algebras with ad-invariant metrics. A survey
• Classification of solvable Leibniz algebras with null-filiform nilradical
• Leibniz algebra deformations of a Lie algebra
• Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On metric Leibniz algebras and deformations