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Frobenius map for the centers of Hecke algebras

Frobenius map for the centers of Hecke algebras

We introduce a commutative associative graded algebra structure on the direct sum $\mathcal Z$ of the centers of the Hecke algebras associated to the symmetric groups in $n$ letters for all $n$. As a natural deformation of the classical construction of Frobenius, we establish an algebra isomorphism from $\mathcal Z$ …