Character Tables of Association Schemes Based on Attenuated Spaces
| العنوان: | Character Tables of Association Schemes Based on Attenuated Spaces |
|---|---|
| المؤلفون: | Hirotake Kurihara |
| المصدر: | Annals of Combinatorics. 17:525-541 |
| بيانات النشر: | Springer Science and Business Media LLC, 2013. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | Combinatorics, Discrete mathematics, Finite field, Association scheme, Dimension (vector space), Discrete Mathematics and Combinatorics, Coset, Bilinear form, Space (mathematics), Linear subspace, Mathematics, Vector space |
| الوصف: | The set of subspaces of a given dimension in an attenuated space has a structure of a symmetric association scheme and this association scheme is called an association scheme based on an attenuated space. Association schemes based on attenuated spaces are generalizations of Grassmann schemes and bilinear forms schemes, and also q-analogues of nonbinary Johnson schemes. Wang, Guo, and Li computed the intersection numbers of association schemes based on attenuated spaces. The aim of this paper is to compute character tables of association schemes based on attenuated spaces using the method of Tarnanen, Aaltonen, and Goethals. Moreover, we also prove that association schemes based on attenuated spaces include as a special case the m-flat association scheme, which is defined on the set of cosets of subspaces of a constant dimension in a vector space over a finite field. |
| تدمد: | 0219-3094 0218-0006 |
| DOI: | 10.1007/s00026-013-0194-5 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::50a2ea89c86a1287ae802e9223043065 https://doi.org/10.1007/s00026-013-0194-5 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi...........50a2ea89c86a1287ae802e9223043065 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02193094 02180006 |
|---|---|
| DOI: | 10.1007/s00026-013-0194-5 |