Wreath Hecke algebras and centralizer construction for wreath products

Abstract

Generalizing the centralizer construction of Molev and Olshanski on symmetric groups, we study the structures of the centralizer $\mZ_{m,n}$ of the wreath product $G_{n-m}$ in the group algebra of $G_n$ for any $n\ge m$. We establish the connection between $\mZ_{m,n}$ and a generalization of degenerate affine Hecke algebras introduced in our earlier work.

27 pages, v2, to appear in J. Algebra.

References in corpus (1)

• Modular representations and branching rules for wreath Hecke algebras

Cited by in corpus (1)

• Heisenberg categorification and Hilbert schemes