English

Invariants of Lie algebras via moving frames

Mathematical Physics 2018-04-03 v2 math.MP Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0904.4462,
  title  = {Invariants of Lie algebras via moving frames},
  author = {Vyacheslav Boyko and Jiri Patera and Roman Popovych},
  journal= {arXiv preprint arXiv:0904.4462},
  year   = {2018}
}

Comments

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