DECOMPOSITION THEOREMS OF LIE OPERATOR ALGEBRAS

Chen, Yin; Chen, Liangyun

doi:10.4134/BKMS.2011.48.6.1183

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DECOMPOSITION THEOREMS OF LIE OPERATOR ALGEBRAS

Journal title : Bulletin of the Korean Mathematical Society
Volume 48, Issue 6, 2011, pp.1183-1193
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2011.48.6.1183

Title & Authors

DECOMPOSITION THEOREMS OF LIE OPERATOR ALGEBRAS
Chen, Yin; Chen, Liangyun;

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;

Language

English

Cited by

References

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