| Authors | Azam Kaheni,Azam Kaheni,Saboura yousefi,Saboura yousefi,Johari,Johari |
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| Journal | Journal of Algebraic Systems |
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| Page number | 0-0 |
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| Paper Type | Full Paper |
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| Journal Type | Typographic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | isc |
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| Keywords | Nilpotent Lie algebra; Stem Lie algebra; Derived subalgebra; Schur multiplier; Isoclinism. |
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Abstract
Let $L$ be a nilpotent Lie algebra such that the dimension of its central quotient is $n$, and $\dim(\gamma_2(L)) = m \geqslant 0$. In this paper, we introduce an invariant $t(\gamma_2(L))$ associated with the subalgebra $\gamma_2(L)$, and we provide an explicit construction to demonstrate the existence of nilpotent Lie algebras realizing arbitrary values of $ t(\gamma_2(L)).$ Furthermore, we classify nilpotent Lie algebras corresponding to certain specific values of this invariant.
