Article ID Journal Published Year Pages File Type
4606268 Differential Geometry and its Applications 2011 13 Pages PDF
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
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