On the non-abelian tensor product of Lie algebras

DOI10.1080/03081080802590834zbMath1197.17006OpenAlexW2008827010WikidataQ115299961 ScholiaQ115299961MaRDI QIDQ3564196

Behrouz Edalatzadeh, Hamid Mohammadzadeh, Ali Reza Salemkar, Hamid A. Tavallaee

Publication date: 2 June 2010

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080802590834

zbMATH Keywords

Engel Lie algebranon-Abelian tensor productnon-Abelian tensor square

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Lie algebras and Lie superalgebras (17B99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (18)

Capability of nilpotent Lie algebras of small dimension ⋮ The nilpotent multipliers of the direct sum of Lie algebras ⋮ Unnamed Item ⋮ Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem ⋮ Some properties of the \(c\)-nilpotent multiplier of Lie algebras ⋮ Unnamed Item ⋮ Some upper bounds on the dimension of the Schur multiplierof a pair of nilpotent Lie algebras ⋮ SOME PROPERTIES ON THE TENSOR SQUARE OF LIE ALGEBRAS ⋮ BOUNDS FOR THE DIMENSION OF THE SCHUR MULTIPLIER OF A PAIR OF NILPOTENT LIE ALGEBRAS ⋮ Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras ⋮ Non-abelian tensor product and homology of Lie superalgebras ⋮ The non-abelian tensor product and the second homology of Leibniz algebras ⋮ On the dimension of the Schur multiplier of n-Lie algebras ⋮ A non-abelian tensor product of precrossed modules in lie algebras ⋮ On the tensor square of non-abelian nilpotent finite-dimensional Lie algebras ⋮ On some properties preserved by the non-abelian tensor product of Hom-Lie algebras ⋮ On the triple tensor product of nilpotent Lie algebras ⋮ On the Dimension of Non-Abelian Tensor Squares of $n$-Lie Algebras

Cites Work

• On the nilpotency class and solvability length of nonabelian tensor products of groups
• On characterizing nilpotent lie algebras by their multipliers
• On a construction related to the non-abelian tensor square of a group
• ON THE GENERATORS OF A NILPOTENT NON-ASSOCIATIVE ALGEBRA
• A non-abelian tensor product of Lie algebras

This page was built for publication: On the non-abelian tensor product of Lie algebras