Nilpotent S-Derivations
نویسندگان
چکیده
منابع مشابه
Triangulable Locally Nilpotent Derivations in Dimension Three
In this paper we give an algorithm to recognize triangulable locally nilpotent derivations in dimension three. In case the given derivation is triangulable, our method produces a coordinate system in which it exhibits a triangular form.
متن کاملCharacterization of Rank Two Locally Nilpotent Derivations in Dimension Three
In this paper we give an algorithmic characterization of rank two locally nilpotent derivations in dimension three. Together with an algorithm for computing the plinth ideal, this gives a method for computing the rank of a locally nilpotent derivation in dimension three.
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Let X = SpecA be a normal affine variety over an algebraically closed field k of characteristic 0 endowed with an effective action of a torus of dimension n. Let also ∂ be a homogeneous locally nilpotent derivation on the normal affine Zn-graded domain A, so that ∂ generates a k+-action on X. We provide a complete classification of pairs (X,∂) in two cases: for toric varieties (n = dimX) and in...
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Let A be the polynomial ring over k (a field of characteristic zero) in n + 1 variables. The commuting derivations conjecture states that n commuting locally nilpotent derivations on A, linearly independent over A, must satisfy A D 1 ,...,Dm = k[f ] where f is a coordinate. The conjecture can be formulated as stating that a (G m) n-action on k n+1 must have invariant ring k[f ] where f is a coo...
متن کاملOn 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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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1968
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(68)50009-x