Decomposition theorems of Lie operator algebras
Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1183-1193
https://doi.org/10.4134/BKMS.2011.48.6.1183
Published online November 1, 2011
Yin Chen and Liangyun Chen
Northeast Normal University, Northeast Normal University
Abstract : In this paper, we introduce a notion of Lie operator algebras which as a generalization of ordinary Lie algebras is an analogy of operator groups. We discuss some elementary properties of Lie operator algebras. Moreover, we also prove a decomposition theorem for Lie operator algebras.
Keywords : Lie operator algebras, Lie algebras, decomposition theorem
MSC numbers : 17B40
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