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Generalized derivations on parabolic subalgebras of general linear Lie algebras

✍ Scribed by CHEN, Zhengxin


Book ID
122267930
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
284 KB
Volume
34
Category
Article
ISSN
0252-9602

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On generalized Lie derivations of Lie id
✍ Ping-Bao Liao; Cheng-Kai Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 136 KB

Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R β†’ A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y ∈ R, then there exist a generalized de