Presentations of affine Kac-Moody groups

Inna Capdeboscq, Karina Kirkina, Dmitriy Rumynin

How many generators and relations does ${\mathrm{S}L}_n({\mathbb{F}}_q[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. W…