Wei-Norman equations for classical groups via cominuscule induction
Representation Theory
2015-12-25 v1 Mathematical Physics
math.MP
Abstract
We show how to reduce the nonlinear Wei-Norman equations, expressing the solution of a linear system of non-autonomous equations on a Lie algebra, to a hierarchy of matrix Riccati equations using the cominuscule induction. The construction works for all reductive Lie algebras with no simple factors of type G2, F4 or E8. A corresponding hierarchy of nonlinear, albeit no longer Riccati equations, is given for these exceptional cases.
Keywords
Cite
@article{arxiv.1512.07661,
title = {Wei-Norman equations for classical groups via cominuscule induction},
author = {J. Gutt and S. Charzyński and M. Kuś},
journal= {arXiv preprint arXiv:1512.07661},
year = {2015}
}
Comments
5 pages