A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of $G{L}_n$ over a non-archimedean local field

Erez Lapid, Alberto Minguez

In the first part of the paper we defined and studied a binary operation on the set of irreducible components of Lusztig's nilpotent varieties of a quiver. For type $A$ we conjectu…