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Advances in Mathematical Physics
Volume 2015, Article ID 949046, 9 pages
Research Article

Centroids of Lie Supertriple Systems

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received 9 February 2015; Revised 4 June 2015; Accepted 8 June 2015

Academic Editor: Yao-Zhong Zhang

Copyright © 2015 Jianrong Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We derive certain structural results concerning centroids of Lie supertriple systems. Centroids of the tensor product of a Lie supertriple system and a unital commutative associative algebra are studied. Furthermore, the centroid of a tensor product of a simple Lie supertriple system and a polynomial ring is partly determined.