To every symmetric bilinear space X, of regular uncountable dimension , Ε½ . Ε½ . Ε½ . Ε½ Ε½ . . an invariant β« X, g P P rF F where F F is the club filter can be assigned. We prove that in dimension / the spectrum of β« cannot be determined in 2 ZFC. For this, on the one hand we show that under CH, β« att
The Spectrum of the Second Subconstituent of the Bilinear Forms GraphHq(d,e)
β Scribed by A.E. Brouwer; R. Riebeek
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 142 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
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β¦ Synopsis
In this article we compute the spectrum of the second subconstituent of the bilinear forms graph by turning it into a scheme with 23 relations, that can be refined to an association scheme.
π SIMILAR VOLUMES
Let W s s W Ε½ p. [ W Ε½2 q . be a direct sum of two vector spaces of dimension p p, 2 q 0 1 and 2 q, respectively, over a field k of characteristic zero, p s 2, 3, . . . , Ο±; q s Β² : s 1, 2, . . . , Ο±; and let x, y be a nondegenerate bilinear form on W which is Β² Ε½ p . Ε½ 2q. : symmetric on W and ske
An analogue of the Erd6s-Ko-Rado theorem is proved for the distance-regular graphs Hq(k, n) with k x n matrices over GF(q) as vertex set and two matrices A and B adjacent if the rank of A -B is 1, where n >~ k + 1 and (n, q) ~ (k + 1, 2). As an easy corollary, we prove that Hq(k, n) has no perfect e