The Centroid of a Lie Triple Algebra

Xiaohong Liu; Liangyun Chen

doi:10.1155/2013/404219

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI06 > Article

2013 The Centroid of a Lie Triple Algebra

Xiaohong Liu, Liangyun Chen

Abstr. Appl. Anal. 2013(SI06): 1-9 (2013). DOI: 10.1155/2013/404219

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Abstract

General results on the centroids of Lie triple algebras are developed. Centroids of the tensor product of a Lie triple algebra and a unitary commutative associative algebra are studied. Furthermore, the centroid of the tensor product of a simple Lie triple algebra and a polynomial ring is completely determined.