A note on nilpotent representations

Let Γ be a finitely generated nilpotent group and let

Subregular nilpotent representations of [sscr ][Iscr ]n and [sscr ][oscr ]2n+1

Let [gscr ] be one of the Lie algebras [sscr ][Iscr ]n(K) or [sscr ][oscr ]2n+1(K) over an algebraically closed field K of characteristic p>0. Suppose in the first case that n∉Zp and in the second case that p≠2. This assumption implies that [gscr ] is simple. In this paper I study certain irreducible representations of [gscr ].