限制Hom李超代数的环面和Cartan分解

Abstract

Abstract: Some properties of restricted HomLie algebras were extended to restricted Hom-Lie superalgebras. We gave definitions and some properties of semi-simple elements and toral elements of restricted Hom-Lie superalgebras, and definitions and some properties of Hom-Lie Cartan-subsuperalgebras. The necessary and sufficient condition for characterization of Hom-Lie Cartan-subsuperalgebras restricted by Hom-Lie superalgebras could be described by its maximal torus, and some properties of its maximal torus of the restricted Hom-Lie superalgebras were given.

Key words: restricted HomLie superalgebras, HomLie Cartansubsuperalgebras, maximal torus

CLC Number:

O152.5

GUAN Baoling, WANG Weihua. Torus and CartanDemcomposition of Restricted HomLie Superalgebras#br#[J].Journal of Jilin University Science Edition, 2019, 57(2): 248-252.

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Torus and CartanDemcomposition of Restricted HomLie Superalgebras#br#

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