✦ LIBER ✦
Association schemes coming from minimal flats in classical polar spaces
✍ Scribed by Kaishun Wang; Fenggao Li; Jun Guo; Jianmin Ma
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 246 KB
- Volume
- 435
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
Let F 2ν
q denote a 2ν-dimensional vector space over a finite field F q with a non-degenerate form of Witt index ν, and G denote the corresponding isometry group. Let W be a fixed maximal flat, and Θ be the set of all the minimal flats not contained in W . The set-wise stabilizer of W in G acts transitively on Θ and thus this action determines an association scheme. In this paper, we compute the intersection numbers and character tables for these schemes.