The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank $$2 $$ in Irreducible Representations of Symplectic Groups. III

Abstract

This is the final part of the paper on the dimensions of Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type \(C_2 \) in \(p\)-restricted irreducible representations of groups of type \(C_n\) in characteristic \(p\geq 11 \) with locally small highest weights. Here the case where \(n>3 \) and the restriction of a representation considered to a canonical subgroup of type \(A_1\) containing such element has a weight not less than \(p\), is investigated.