the structure of a pair of nilpotent lie algebras

نویسندگان

homayoon arabyani

islamic azad university hadi hosseini fadravi

islamic azad university

چکیده

assume that $(n,l)$, is a pair of finite dimensional nilpotent lie algebras, in which $l$ is non-abelian and $n$ is an ideal in $l$ and also $mathcal{m}(n,l)$ is the schur multiplier of the pair $(n,l)$. motivated by characterization of the pairs $(n,l)$ of finite dimensional nilpotent lie algebras by their schur multipliers (arabyani, et al. 2014) we prove some properties of a pair of nilpotent lie algebras and generalize results for a pair of non-abelian nilpotent lie algebras.

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عنوان ژورنال:
algebraic structures and their applications

جلد ۲، شماره ۲، صفحات ۳۷-۴۷

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