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arXiv · 2302.02732

The 2-nilpotent multiplier of n-Lie algebras and its applications

Farshid Saeedi·Seyedeh Nafiseh Akbarossadat
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Abstract

In this paper, we first recall the concept of c-nilpotent multiplier and c-capability of n-Lie algebras and also, recall the formula for calculating the number of basic commutators in n-Lie algebras. Then we give the structure of 2-nilpotent multiplier of the direct sum of two n-Lie algebras. Next, we calculate the dimension of 2-nilpotent multiplier of every abelian n-Lie algebras and Heisenberg n-Lie algebras H(n,m). Then we give a dimension of 2-nilpotent multiplier of any nilpotent n-Lie algebras of class 2 by using the number of basic commutators.

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Farshid Saeedi, Seyedeh Nafiseh Akbarossadat. 2023-02-06. The 2-nilpotent multiplier of n-Lie algebras and its applications. https://arxiv.org/abs/2302.02732

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