c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras

DOI10.1142/S0219498820500371zbMath1437.17004arXiv1712.04742OpenAlexW2962937010WikidataQ114614728 ScholiaQ114614728MaRDI QIDQ5108407

Mohsen Parvizi, Peyman Niroomand, Farangis Johari

Publication date: 4 May 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04742

zbMATH Keywords

nilpotent Lie algebra\(c\)-nilpotent multiplier\(c\)-capable

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier for the direct sum of two Leibniz algebras ⋮ Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Capability and Schur multiplier of a pair of Lie algebras
• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• The Baer-invariant of a direct product
• On the nilpotent multipliers of a group
• On groups with a finite nilpotent upper central quotient
• The nilpotent multipliers of the direct sum of Lie algebras
• Some properties of the \(c\)-nilpotent multiplier of Lie algebras
• 2-nilpotent multipliers of a direct product of Lie algebras
• Some criteria for detecting capable Lie algebras
• THE MULTIPLIER AND THE COVER OF DIRECT SUMS OF LIE ALGEBRAS
• ON THE 2-NILPOTENT MULTIPLIER OF FINITEp-GROUPS
• A Note on the Schur Multiplier of a Nilpotent Lie Algebra
• Inequalities for Baer Invariants of Finite Groups
• On covers of lie algebras
• On characterizing nilpotent lie algebras by their multipliers
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• The Frattini Subalgebra of a Lie Algebra
• The Second Homology Group of a Group; Relations among Commutators
• Representations of groups as quotient groups. II. Minimal central chains of a group

This page was built for publication: c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras