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论文类型：期刊论文
发表时间：2011-01-01
发表刊物：LINEAR & MULTILINEAR ALGEBRA
收录刊物：SCIE、Scopus
卷号：59
期号：3
页面范围：237-247
ISSN号：0308-1087
关键字：generalized Lie triple derivation; Borel subalgebra; maximal nilpotent subalgebra; block diagonal map; homothety
摘要：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.