The Ring of Support-Classes of $\mathrm{SL}_2(\mathbb F_q)$

Roland Bacher (1)

1 IF - Institut Fourier

We introduce and study a subring $\mathcal{SC}$ of $\mathbb Z[\mathrm{SL}_2(\mathbb F_q)]$ obtained by summing elements of $\mathrm{SL}_2(\mathbb F_q)$ according to their support. The ring $\mathcal SC$ can be used for the construction of several association schemes.

Mots clés: Support-classes; Association Scheme; Representation Theory

Domaines: Combinatoire [math.CO]

Roland Bacher. The Ring of Support-Classes of $\mathrm{SL}_2(\mathbb F_q)$ . 2015. ⟨hal-01159898⟩