2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217272We show that the center of the Iwahori--Hecke algebra of the symmetric group $S_n$ carries a natural filtered algebra structure, and that the structure constants of the associated graded algebra are independent of $n$. A series of conjectures and open problems are also included.9 pagesRepresentation TheoryRings and Algebras20C08; 16W70text