Post-Lie algebra structures on solvable Lie algebra t(2, C)

作者：Tang Xiaomin^*; Zhang Yang

来源：Linear Algebra and Its Applications, 2014, 462: 59-87.

DOI：10.1016/j.laa.2014.08.019

• Lie algebra
• Post-Lie algebra
• Upper triangular matrix
• Grobner basis

The post-Lie algebra is an enriched structure of the Lie algebra introduced by Vallette. In this paper we give a complete classification of post-Lie algebra structures on solvable Lie algebra t(2, C), the Lie algebra of 2 x 2 upper triangular matrices. Furthermore, we discuss their isomorphism classes and obtain one necessary and sufficient condition.

• 出版日期2014-12-1
• 单位黑龙江大学