The Ring of Support-Classes of \(SL_2 (\mathbb{F}_q)\)

Roland Bacher1
1Univ. Grenoble Alpes, Institute Fourier (CNRS UMR 5582), 38000 Grenoble France

Abstract

We introduce and study a subring SC of \(\mathbb{Z}SL_2 (\mathbb{F}_q)\) obtained by summing elements of \(SL_2 (\mathbb{F}_q)\) according to their support. The ring SC can be used for the construction of several association schemes.

Keywords: Support-classes, Association Scheme, Representation Theory