Casimir Elements and Kernel of Weitzenb Ö K Derivation
نویسنده
چکیده
Let k[X]:= k[x 0 , x 1 ,. .. , x n ] be a polynomial algebra over a field k of characteristic zero. We offer an algorithm for calculation of kernel of Weitzenbök derivation d(x i) = x i−1 ,. .. , d(x 0) = 0, i = 1. .. n that is based on an analogue of the well known Casimir elements of finite dimensional Lie algebras. By using this algorithm, the kernel is calculated in the case n < 7.
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