Constructions of Grassmannian Simplices
نویسنده
چکیده
In this article an explicit method (relying on representation theory) to construct packings in Grassmannian space is presented. Infinite families of configurations having only one non-trivial set of principal angles are found using 2-transitive groups. These packings are proved to reach the simplex bound and are therefore optimal w.r.t. the chordal distance. The construction is illustrated by an example on Sn. Then some natural extends and consequences of this situation are given.
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ورودعنوان ژورنال:
- CoRR
دوره abs/cs/0703036 شماره
صفحات -
تاریخ انتشار 2006