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Constructions of Grassmannian Simplices
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by
Jean Creignou
| Citations: | 2 - 0 self |
BibTeX
@MISC{Creignou_constructionsof,
author = {Jean Creignou},
title = {Constructions of Grassmannian Simplices},
year = {}
}
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Abstract
The aim of this article is to present new and explicit constructions of optimal packings in the Grassmannian space. Therefore we use a method presented in [15] involving finite group representations. Infinite families of configurations having only one non-trivial set of principal angles are naturally found using 2-transitive groups. These packings are proved to reach the simplex bound [17] and are therefore optimal w.r.t. the chordal distance. The construction is illustrated by several examples.
