| نویسندگان | Azam Kaheni,Azam Kaheni,Saboura yousefi,Saboura yousefi,Johari,Johari |
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| نشریه | Journal of Algebraic Systems |
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| شماره صفحات | 0-0 |
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| نوع مقاله | Full Paper |
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| نوع نشریه | چاپی |
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| کشور محل چاپ | ایران |
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| نمایه نشریه | isc |
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| کلید واژه ها | Nilpotent Lie algebra; Stem Lie algebra; Derived subalgebra; Schur multiplier; Isoclinism. |
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چکیده مقاله
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.
