Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
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DOI：
10.1080/00927872.2012.654551
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发表时间：
2013-05
影响因子：
0.7
通讯作者：
Dengyin Wang;Xiaoxiang Yu
中科院分区：
文献类型：
--
作者：
Dengyin Wang;Xiaoxiang Yu
设λ是复域λ上的Schr dinger-Virasoro李代数。本文证明了图的每一个双导都是内导。作为双导子的一个应用，我们证明了任意线性可换映射都有形式<$x（x）= λx + f（x）M0，其中λ ∈ <$x，M0是<$x的一维中心的基，f是从<$x到<$x的线性函数.𝔏
Let 𝔏 be the Schr dinger–Virasoro Lie algebra over the complex field ℂ. In this article, we prove that each biderivation of 𝔏 is inner. As an application of biderivations, we show that every linear commuting map ψ on 𝔏 has the form ψ(x) = λx + f(x)M 0, where λ ∈ ℂ, M 0 is a basis of the one-dimensional center of 𝔏, and f is a linear function from 𝔏 to ℂ.