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The centers of Iwahori-Hecke algebras are filtered
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The centers of Iwahori-Hecke algebras are filtered
classification
math.RT
math.RA
keywords
algebrafilteredstructurealgebrasassociatedcarriescentercenters
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We 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.
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