Representations of dimensions $(p^n\pm 1)/2$ of the symplectic group of degree $2n$ over a field of characteristic $p$

Alexandre Zalesski, Irina Suprunenko

The irreducible representations ${\varphi }_n^1$ and ${\varphi }_n^2$ of the symplectic group $G_n=S{p}_{2n}(P)$ over an algebraically closednfield $P$ of characteristic $p>2$ with highest weights $ω_…