Derivation algebras of certain nilpotent Lie algebras
Let \(L\) be a nilpotent Lie algebra and for \(x\in L\), \(\text{ad}(x): y\mapsto [x,y]\) for all \(y\in L\) the adjoint operator. For all \(x\in L-[L,L]\), let \(c(x)= (c_1(x), c_1(x),\dots, 1)\) be the sequence, in decreasing order of the characteristic subspaces of the nilpotent operator \(\text{ad}(x)\). The sequence \(c(L)= \sup \{c(x): x\in L-[L,L]\}\) is called the Goze invariant of \(L\). The authors compute the dimension of the algebra of derivations of any \(n\)-dimensional nilpotent real or complex Lie algebra whose Goze invariant is \((n-3,1,\dots, 1)\).
scientific article; zbMATH DE number 1631353