Derivation algebras of certain nilpotent Lie algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 0996.17014
author: J. M. Cabezas
author: Jose R. Gómez
publication date: 2001-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/122098
full work available at URL: 12.html
Mathematics Subject Classification ID: 17B40
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 1631353
zbMATH Keywords: nilpotent Lie algebra
zbMATH Keywords: adjoint operator
zbMATH Keywords: Goze invariant
zbMATH Keywords: dimension
zbMATH Keywords: algebra of derivations
MaRDI profile type: Publication
title: Derivation algebras of certain nilpotent Lie algebras
published in: Journal of Lie Theory
review text: 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 \((n-3,1,\dots, 1)\).
reviewed by: Melih Boral
description: scientific article; zbMATH DE number 1631353