Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606268 | Differential Geometry and its Applications | 2011 | 13 Pages |
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 representations of Berger algebras with the same property.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lionel Bérard Bergery, Tom Krantz,