Differential systems associated with tableaux over Lie algebras
Differential Geometry
2007-12-06 v1
Abstract
We give an account of the construction of exterior differential systems based on the notion of tableaux over Lie algebras as developed in [Comm. Anal. Geom 14 (2006), 475-496; math.DG/0412169]. The definition of a tableau over a Lie algebra is revisited and extended in the light of the formalism of the Spencer cohomology; the question of involutiveness for the associated systems and their prolongations is addressed; examples are discussed.
Cite
@article{arxiv.0705.2715,
title = {Differential systems associated with tableaux over Lie algebras},
author = {Emilio Musso and Lorenzo Nicolodi},
journal= {arXiv preprint arXiv:0705.2715},
year = {2007}
}