The equivariant K-theory of Gieseker varieties is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.
Quillen , On the endomorphism ring of a simple module over an envelopin g algebra , Proc
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Authors define very nice and modest algebras axiomatically to link Hilbert-Samuel polynomials with multiplicity, generalize prior results from Ore domains to prime algebras, and establish the property for rational Cherednik algebras.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
The equivariant K-theory of Gieseker varieties is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.
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Hilbert-Samuel Polynomials for Algebras with Special Filtrations
Authors define very nice and modest algebras axiomatically to link Hilbert-Samuel polynomials with multiplicity, generalize prior results from Ore domains to prime algebras, and establish the property for rational Cherednik algebras.