Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements
Mathematical Physics
2018-04-03 v4 math.MP
Representation Theory
Abstract
The invariants of solvable Lie algebras with nilradicals isomorphic to the algebra of strongly upper triangular matrices and diagonal nilindependent elements are studied exhaustively. Bases of the invariant sets of all such algebras are constructed by an original purely algebraic algorithm based on Cartan's method of moving frames.
Keywords
Cite
@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}
}
Comments
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