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.
|Number of pages||10|
|Journal||Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry|
|Publication status||Published - 1 Sep 2018|
- Complex conference matrices
- Equi-isoclinic planes