New families of Q-polynomial association schemes

被引：24

作者：

Penttila, Tim ^{[1
]}

Williford, Jason ^{[2
]}

机构：

[1] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[2] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2011年 / 118卷 / 02期

关键词：

Association scheme; Finite geometry; Generalized quadrangle; GENERALIZED QUADRANGLES;

D O I：

10.1016/j.jcta.2010.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct the first known infinite family of primitive Q-polynomial schemes which are not generated by distance-regular graphs. To construct these examples, we introduce the notion of a relative hemisystem of a generalized quadrangle with respect to a subquadrangle. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：502 / 509

页数：8

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