On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

Kay Magaard, Gerhard Roehrle, Donna Testerman

Let $W$ be a vector space over an algebraically closed field $k$. Let $H$ be a quasisimple group of Lie type of characteristic $p\ne \mathrm{char}(k)$ acting irreducibly on $W$. Suppo…