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Association schemes coming from minimal flats in classical polar spaces |
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| Authors: | Kaishun Wang Fenggao Li |
| Affiliation: | a Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China b Dept. of Math., Hunan Institute of Science and Technology, Yueyang 414006, China c Math. and Inf. College, Langfang Teachers’ College, Langfang 065000, China d Oxford College of Emory University, Oxford, GA 30054, USA |
| Abstract: | Let  denote a 2ν-dimensional vector space over a finite field Fq 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. |
| Keywords: | 05E30 20C33 |
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