Representations admitting two pairs of supplementary invariant spaces
Representation Theory
2008-02-21 v2
Abstract
We examine the lattice generated by two pairs of supplementary vector subspaces of a finite-dimensional vector space by intersection and sum, with the aim of applying the results to the study of representations admitting two pairs of supplementary invariant spaces, or one pair and a reflexive form. We show that such a representation is a direct sum of three canonical sub-representations which we characterize. We then focus on holonomy representations with the same property.
Keywords
Cite
@article{arxiv.0704.2777,
title = {Representations admitting two pairs of supplementary invariant spaces},
author = {Lionel Bérard Bergery and Thomas Krantz},
journal= {arXiv preprint arXiv:0704.2777},
year = {2008}
}