## Abstract and Applied Analysis

### The Centroid of a Lie Triple Algebra

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 404219, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393444213

Digital Object Identifier
doi:10.1155/2013/404219

Mathematical Reviews number (MathSciNet)
MR3095361

Zentralblatt MATH identifier
1291.17003

#### Citation

Liu, Xiaohong; Chen, Liangyun. The Centroid of a Lie Triple Algebra. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 404219, 9 pages. doi:10.1155/2013/404219. https://projecteuclid.org/euclid.aaa/1393444213

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