Bulletin of the
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Bull. Korean Math. Soc. 2011; 48(6): 1183-1193

Printed November 1, 2011

https://doi.org/10.4134/BKMS.2011.48.6.1183

Copyright © The Korean Mathematical Society.

Decomposition theorems of Lie operator algebras

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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