具有三角幂零根和对角幂零独立元的可解李代数的不变量
数学物理
2018-04-03 v4 math.MP
表示论
摘要
详尽研究了幂零根同构于强上三角矩阵代数且具有对角幂零独立元的可解李代数的不变量。基于 Cartan 活动标架法，提出了一种原创的纯代数算法，并据此构造了所有此类代数的不变量集的基。
引用
@article{arxiv.0706.2465,
title = {Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements},
author = {Vyacheslav Boyko and Jiri Patera and Roman O. Popovych},
journal= {arXiv preprint arXiv:0706.2465},
year = {2018}
}
备注
21 pages, enhanced and extended version. Section 2 reviews the method of finding invariants of Lie algebras that was proposed in arXiv:math-ph/0602046 and arXiv:math-ph/0606045. The computation is based on developing a specific technique given in arXiv:0704.0937. Results generalize ones of arXiv:0705.2394 to the case of arbitrary relevant number of nilindependent elements