TY - JOUR
T1 - Complex conference matrices and equi-isoclinic planes in Euclidean spaces
AU - Blokhuis, A.
AU - Brehm, Ulrich
AU - Et-Taoui, Boumediene
PY - 2018/9/1
Y1 - 2018/9/1
N2 - 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.
AB - 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.
KW - Complex conference matrices
KW - Equi-isoclinic planes
UR - http://www.scopus.com/inward/record.url?scp=85051719207&partnerID=8YFLogxK
U2 - 10.1007/s13366-017-0374-2
DO - 10.1007/s13366-017-0374-2
M3 - Article
SN - 0138-4821
VL - 59
SP - 491
EP - 500
JO - Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry
JF - Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry
IS - 3
ER -