2011/01/18 by Hirotake Kurihara, Kurihara, Hirotake
Biochemistry, Genetics and Molecular Biology · Medicine · #05E30 (Primary) 20C15 (Secondary) #Biological Activity of Diterpenoids and Biflavonoids #Combinatorics (math.CO) #FOS: Mathematics #Natural product bioactivities and synthesis #Phytoestrogen effects and research #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1101.3455
openalex publication_date 2011/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 non-binary 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.