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Generalized Lie triple derivations.
- Source :
-
Linear & Multilinear Algebra . Mar2011, Vol. 59 Issue 3, p237-247. 11p. 7 Charts. - Publication Year :
- 2011
-
Abstract
- Let [image omitted] be a complex semisimple Lie algebra, [image omitted] be a Borel subalgebra of [image omitted] and [image omitted] denote the maximal nilpotent subalgebra of [image omitted]. In this article, we prove that every generalized Lie triple derivation of [image omitted] can be written as the sum of a Lie triple derivation and a block diagonal map. We also show that every generalized Lie triple derivation for [image omitted] of each classical complex simple Lie algebra is the sum of a Lie triple derivation and a homothety. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 59
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 58667428
- Full Text :
- https://doi.org/10.1080/03081080903350153