On the Dimension of Non-Abelian Tensor Squares of $n$-Lie Algebras

DOI10.5556/j.tkjm.52.2021.3373OpenAlexW3128010324MaRDI QIDQ5029307

Nafiseh Akbarossadat, Farshid Saeedi

Publication date: 11 February 2022

Published in: Tamkang Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5556/j.tkjm.52.2021.3373

zbMATH Keywords

Schur multiplier\(n\)-Lie algebranon-abelian tensor squarenon abelian tensor product

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (1)

New bounds on the dimension of the Schur multiplier of n-Lie algebras

Cites Work

• On the multiplier of nilpotent \(n\)-Lie algebras
• A non-abelian tensor product of Leibniz algebras
• A noncommutative version of Lie algebras: Leibniz algebras
• Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras
• A certain exact sequence
• A restriction on the Schur multiplier of nilpotent Lie algebras
• On the tensor square of non-abelian nilpotent finite-dimensional Lie algebras
• ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS
• Crossed modules for Leibniz n-algebras
• On the non-abelian tensor product of Lie algebras
• The Ganea Map for Nilpotent Groups
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• A non-abelian tensor product of Lie algebras
• The Second Homology Group of a Group; Relations among Commutators
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