报告题目：Nilpotent Decomposition of Solvable Lie Algebras
报告人：祁力群 教授
报告人单位：The Hong Kong Polytechnic University
报告时间：2019年5月30日 ，上午9：00-10：00
报告地点：数学学院九龙湖第一报告厅
报告摘要：
Semisimple Lie algebras have been completely classified by Cartan and Killing. The Levi theorem states that every finite dimensional Lie algebra is isomorphic to a semidirect sum of its largest solvable ideal and a semisimple Lie algebra. These focus the classification of solvable Lie algebras as one of the main challenges of Lie algebra research. One approach towards this task is to take a class of nilpotent Lie algebras and construct all extensions of these algebras to solvable ones. In this paper, we propose another approach, i.e., to decompose a solvable nonnilpotent Lie algebra to two nilpotent Lie algebras which are called the left and right nilpotent algebras of the solvable algebra. The right nilpotent algebra is the smallest ideal of the lower central series of the solvable algebra, while the left nilpotent algebra is the factor alg
报告人介绍：
Liqun Qi is now Professor of Applied Mathematics and Head of Department of Applied Mathematics at The Hong Kong Polytechnic University. Professor Qi has published more than 200 research papers in international journals. He established the superlinear and quadratic convergence theory of the semismooth Newton method, and played a principal role in the development of reformulation methods in optimization. Professor Qi’s research work has been cited by the researchers around the world. According to the authoritative citation database www.isihighlycited.com, he is one of the world’s most highly cited 300 mathematicians. In 2005, Professor Qi pioneered the research on eigenvalues for higher order tensors, which now has applications in biomedical engineering, statistical data analysis, spectral hypergraph theory, solid mechanics, etc.. In 2010, Professor Qi received the First Class Science and Technology Award of Chinese Operations Research Society.