on dimension of a special subalgebra of derivations of nilpotent lie algebras
نویسندگان
چکیده
let $l$ be a lie algebra, $mathrm{der}(l)$ be the set of all derivations of $l$ and $mathrm{der}_c(l)$ denote the set of all derivations $alphainmathrm{der}(l)$ for which $alpha(x)in [x,l]:={[x,y]vert yin l}$ for all $xin l$. we obtain an upper bound for dimension of $mathrm{der}_c(l)$ of the finite dimensional nilpotent lie algebra $l$ over algebraically closed fields. also, we classify all finite dimensional nilpotent lie algebras $l$ over algebraically closed fields for which dim$mathrm{der}_c(l)$ attains its maximum value.
منابع مشابه
On dimension of a special subalgebra of derivations of nilpotent Lie algebras
Let $L$ be a Lie algebra, $mathrm{Der}(L)$ be the set of all derivations of $L$ and $mathrm{Der}_c(L)$ denote the set of all derivations $alphainmathrm{Der}(L)$ for which $alpha(x)in [x,L]:={[x,y]vert yin L}$ for all $xin L$. We obtain an upper bound for dimension of $mathrm{Der}_c(L)$ of the finite dimensional nilpotent Lie algebra $L$ over algebraically closed fields. Also, we classi...
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۱، صفحات ۷۹-۹۳
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