on dimension of a special subalgebra of derivations of nilpotent lie algebras

نویسندگان

s. sheikh-mohseni

department of mathematics‎, ‎mashhad branch‎, ‎islamic azad university‎, ‎mashhad‎, ‎iran. f. saeedi

department of mathematics‎, ‎mashhad branch‎, ‎islamic azad university‎, ‎mashhad‎, ‎iran.

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.

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On dimension of a special subalgebra of derivations of nilpotent Lie algebras

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۷۹-۹۳

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