李超三系的分解唯一性

Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1058-1066.

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The Uniqueness of the Decomposition of Lie Supertriple Systems

Pan Yuxia|Zhang Qingcheng

(School of Mathematics and Statistics, Northeast Normal University, Changchun 130024)

Received:2006-01-09 Revised:2007-10-20 Online:2008-12-25 Published:2008-12-25
Contact: Pan Yuxia

Abstract

Abstract:

This paper first shows the decomposition of the center, the derivation superalgebras and inner derivation superalgebras respectively according to the decomposition of Lie supertriple systems. It maily consider the decomposition of Lie supertriple systems with trivial center and uniqueness and the extension of the automorphism of a Lie supertriple system.

Key words: Lie supertriple system, Decomposition, Indecomposable, Derivation, Automorphism

CLC Number:

17A40

Pan Yuxia|Zhang Qingcheng. The Uniqueness of the Decomposition of Lie Supertriple Systems[J].Acta mathematica scientia,Series A, 2008, 28(6): 1058-1066.

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The Uniqueness of the Decomposition of Lie Supertriple Systems

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