Equiangular Frames and Signature Sets

Details Equiangular Frames and Signature Sets Equiangular Frames and Signature Sets

2009-10-14

arxiv.org/abs/0910.2685v1

Mathematics

Functional Analysis

39 pages

Scientific paper

We will present a relation between real equiangular frames and certain special sets in groups which we call signature sets and show that many equiangular frames arise in this manner. Then we will define quasi-signature sets and will examine equiangular frames associated to these subsets of groups. We will extend these results to complex equiangular frames where the inner product between any pair of vectors is a common multiple of a cube root of unity and exhibit equiangular frames that arise from groups in this manner.

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