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Indexed by:期刊论文

Date of Publication:2011-01-01

Journal:LINEAR & MULTILINEAR ALGEBRA

Included Journals:SCIE、Scopus

Volume:59

Issue:3

Page Number:237-247

ISSN No.:0308-1087

Key Words:generalized Lie triple derivation; Borel subalgebra; maximal nilpotent subalgebra; block diagonal map; homothety

Abstract:Let g be a complex semisimple Lie algebra, b be a Borel subalgebra of g and n = [b, b] denote the maximal nilpotent subalgebra of g. In this article, we prove that every generalized Lie triple derivation of b 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 n of each classical complex simple Lie algebra is the sum of a Lie triple derivation and a homothety.