The component map φ from component tableaux to Irr(N) is surjective, established via factorization of the Benlolo-Sanderson invariants into products indexed by pseudo-neighbouring column pairs.
Spaltenstein, On the fixed point set of a unipotent element on the variety of Borel subgroups, Topology16(1977), no
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Reverse Tableaux and the Surjectivity of the Component Map in Type $A$
The component map φ from component tableaux to Irr(N) is surjective, established via factorization of the Benlolo-Sanderson invariants into products indexed by pseudo-neighbouring column pairs.