What question did this study set out to answer?

The aim is to characterize all covers of n-Lie algebras and establish bounds for their Schur multipliers.

March 29, 2026Journal of Lie theoryOpen Access

On the Schur Multiplier of n-Lie Algebras

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The aim is to characterize all covers of n-Lie algebras and establish bounds for their Schur multipliers.
Analyzed the structure of covers for n-Lie algebras with finite dimensional Schur multipliers.
Derived upper bounds for the dimension of the Schur multiplier M(A) of an n-Lie algebra A.
Developed a formula for the dimension of the Schur multiplier for the direct sum of two n-Lie algebras.
Established an upper bound for dim M(A) as d multiplied by n.
Demonstrated that this equality holds if and only if the n-Lie algebra A is abelian.
Provided a formula that links the Schur multiplier dimensions of direct sums of n-Lie algebras.

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Implication

This article explores the structure and dimension of Schur multipliers in n-Lie algebras, indicating significant findings about covers and abelian conditions.

Cite This Study

Darabi et al. (2017) studied this question.

synapsesocial.com/papers/69c8c195de0f0f753b39beea https://doi.org/10.5802/jolt.945

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Implication

This article explores the structure and dimension of Schur multipliers in n-Lie algebras, indicating significant findings about covers and abelian conditions.

On the Schur Multiplier of n-Lie Algebras

Key Points

Discussion

Implication

Cite This Study

On the Schur Multiplier of n-Lie Algebras

Key Points

Discussion

Implication

Cite This Study

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