On the tensor square of non-abelian nilpotent finite-dimensional Lie algebras

DOI10.1080/03081087.2010.497491zbMath1227.17006arXiv1002.2563OpenAlexW2952862079WikidataQ115299890 ScholiaQ115299890MaRDI QIDQ3090729

Peyman Niroomand

Publication date: 1 September 2011

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

Full work available at URL: https://arxiv.org/abs/1002.2563

zbMATH Keywords

nilpotent Lie algebratensor squareSchur multiplier.

Mathematics Subject Classification ID

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

Related Items (7)

Capability of nilpotent Lie algebras of small dimension ⋮ On characterizing nilpotent Lie algebras by their multiplier, \(s(L)=4\) ⋮ SOME PROPERTIES ON THE TENSOR SQUARE OF LIE ALGEBRAS ⋮ On the capability of Leibniz algebras ⋮ On the dimension of the Schur multiplier of n-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

• Some computations of non-Abelian tensor products of groups
• Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras
• A certain exact sequence
• On the non-abelian tensor product of Lie algebras
• On characterizing nilpotent lie algebras by their multiplierst(L) = 3,4,5,6
• On covers of lie algebras
• On characterizing nilpotent lie algebras by their multipliers
• On a construction related to the non-abelian tensor square of a group
• A non-abelian tensor product of Lie algebras

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