Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

DOI10.1016/j.jalgebra.2021.06.024zbMath1487.17004arXiv2104.00557OpenAlexW3177186103WikidataQ123115731 ScholiaQ123115731MaRDI QIDQ2042952

G. O. Solijanova, K. K. Abdurasulov, Isamiddin S. Rakhimov, Bakhrom A. Omirov

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2104.00557

zbMATH Keywords

Lie algebracohomology grouppotentially nilpotent Lie algebrapro-nilpotent Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32)

Related Items (1)

Residually solvable extensions of pro-nilpotent Leibniz superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Corrigendum to: ``Classification of solvable Leibniz algebras with naturally graded filiform nilradical.
• The classification of 4-dimensional Leibniz algebras
• Solvable Leibniz algebras with triangular nilradicals
• Cohomology of graded Lie algebras of maximal class with coefficients in the adjoint representation
• Classification of graded Lie algebras with two generators
• Thin Leibniz algebras
• Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• On classification of 5-dimensional solvable Leibniz algebras
• Infinite-dimensional filtered Lie algebras and their connection with graded Lie algebras
• SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE
• Solvable Lie algebras with Borel nilradicals
• On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
• ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• Cohomology Theorems for Borel-Like Solvable Lie Algebras in Arbitrary Characteristic
• Solvable Lie algebras with an \mathbb {N}-graded nilradical of maximal nilpotency degree and their invariants
• All solvable extensions of a class of nilpotent Lie algebras of dimensionnand degree of nilpotencyn− 1
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Generalized Casimir operators of solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with maximal dimension of complementary space to nilradical
• Outer derivations of complex solvable Lie algebras with the nilradical of maximal rank
• Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension
• Naturally graded Lie algebras of slow growth
• Solvable Leibniz Algebras with Heisenberg Nilradical
• Right and left solvable extensions of an associative Leibniz algebra
• Classification of solvable Leibniz algebras with null-filiform nilradical
• On Levi–Malcev theorem for Leibniz algebras
• Classification and Identification of Lie Algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras
• Solvable Leibniz algebras with filiform nilradical

This page was built for publication: Residually solvable extensions of an infinite dimensional filiform Leibniz algebra