2009/04/30 by Vyacheslav Boyko, Jiri Patera, Roman Popovych
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.RT #msc:17B05 #msc:17B10 #msc:17B30 #msc:22E70 #msc:81R05
published as Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 2009, 36-44 · 10 pages, minor corrections. A brief survey of arXiv:math-ph/0602046, arXiv:math-ph/0606045, arXiv:0704.0937, arXiv:0705.2394 and arXiv:0706.2465
arxiv created 2018/04/01 · arxiv updated 2018/04/03
A purely algebraic algorithm for computation of invariants (generalized Casimir operators) of Lie algebras by means of moving frames is discussed. Results on the application of the method to computation of invariants of low-dimensional Lie algebras and series of solvable Lie algebras restricted only by a required structure of the nilradical are reviewed.