Wreath Hecke algebras and centralizer construction for wreath products

Details Wreath Hecke algebras and centralizer construction for wreath products Wreath Hecke algebras and centralizer construction for wreath products

2008-10-15

arxiv.org/abs/0810.2767v2

J. Algebra 323 (2010), no. 9, 2371-2397

Mathematics

Representation Theory

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

Scientific paper

10.1016/j.jalgebra.2010.02.020

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 $n\geq m$. We establish
the connection between $\mZ_{m,n}$ and a generalization of degenerate affine
Hecke algebras introduced in our earlier work.

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