Details:
Title  PostLie algebra structures on solvable Lie algebra  Author(s)  Xiaoxian Tang, Y. Zhang  Type  Article in Journal  Abstract  Abstract The postLie algebra is an enriched structure of the Lie algebra introduced by Vallette. In this paper we give a complete classification of postLie algebra structures on solvable Lie algebra t ( 2 , C ) , the Lie algebra of 2 × 2 upper triangular matrices. Furthermore, we discuss their isomorphism classes and obtain one necessary and sufficient condition.  Keywords  Lie algebra, PostLie algebra, Upper triangular matrix, Gröbner basis  ISSN  00243795 
URL 
http://www.sciencedirect.com/science/article/pii/S0024379514005527 
Language  English  Journal  Linear Algebra and its Applications  Volume  462  Pages  59  87  Year  2014  Edition  0  Translation 
No  Refereed 
No 
