Equiangular tight frames from complex Seidel matrices containing cube roots of unity

Simple item page
dc.creatorBodmann, Bernhard G.
dc.creatorPaulsen, Vern I.
dc.creatorTomforde, Mark
dc.date2008-05-14
dc.date2008-09-01
dc.date.accessioned2026-07-07T09:59:21Z
dc.date.available2026-07-07T09:59:21Z
dc.descriptionWe derive easily verifiable conditions which characterize when complex Seidel matrices containing cube roots of unity have exactly two eigenvalues. The existence of such matrices is equivalent to the existence of equiangular tight frames for which the inner product between any two frame vectors is always a common multiple of the cube roots of unity. We also exhibit a relationship between these equiangular tight frames, complex Seidel matrices, and highly regular, directed graphs. We construct examples of such frames with arbitrarily many vectors.
dc.descriptionNew version comments: A few minor typos corrected. Accepted for publication in Linear Algebra Appl
dc.identifierhttps://arxiv.org/abs/0805.2014
dc.identifierhttp://arxiv.org/abs/0805.2014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167992
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject42C15, 52C17
dc.titleEquiangular tight frames from complex Seidel matrices containing cube roots of unity
dc.typetext

Files

Collections

arXiv