Complex conference matrices and equi-isoclinic planes in Euclidean spaces

A. Blokhuis, Ulrich Brehm, Boumediene Et-Taoui (Corresponding author)

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Abstract

We demonstrate that if there exists a real symmetric conference matrix of order n, then there exists a complex symmetric conference matrix of order n- 1. A v-set of equi-isoclinic planes in R n is a set of v planes spanning R n, each pair of which has the same non-zero angle arccosλ. We prove that for any integer n≥ 5 for which there exists a complex symmetric conference matrix of order n, the maximum number of equi-isoclinic planes with angle arccos 1n-1 in R n is equal to n.

Original languageEnglish
Pages (from-to)491-500
Number of pages10
JournalBeiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry
Volume59
Issue number3
DOIs
Publication statusPublished - 1 Sep 2018

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Keywords

  • Complex conference matrices
  • Equi-isoclinic planes

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