Character Tables of Association Schemes Based on Attenuated Spaces

被引：12

作者：

Kurihara, Hirotake ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

ANNALS OF COMBINATORICS | 2013年 / 17卷 / 03期

基金：

日本学术振兴会;

关键词：

association scheme; character table; attenuated space;

D O I：

10.1007/s00026-013-0194-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：525 / 541

页数：17

共 14 条

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[2]

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[3]

Bannai Eiichi., 1990, Finite geometries, buildings, and related topics, P105

[4]

Brouwer A.E., 1989, DISTANCE REGULAR GRA