First cohomology for finite groups of Lie type: simple modules with small dominant weights

Brian D. Boe, Adrian M. Brunyate, Jon F. Carlson +12

Let $k$ be an algebraically closed field of characteristic $p>0$, and let $G$ be a simple, simply connected algebraic group defined over ${\mathbb{F}}_p$. Given $r\ge 1$, set $q=…