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arXiv · 0704.2777

Representations admitting two pairs of supplementary invariant spaces

Lionel Bérard Bergery·Thomas Krantz
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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.

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Lionel Bérard Bergery, Thomas Krantz. 2008-02-21. Representations admitting two pairs of supplementary invariant spaces. https://arxiv.org/abs/0704.2777

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