Hecke Ring of $(\symg{2n},\hypero{n})$: Generators and the Farahat-Higman Ring

Mathematics – Combinatorics

Scientific paper

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4 figures, 33 pages

Scientific paper

In this work, we present a set of ring generators for the Hecke ring of the
Gel'fand pair $(\symg{2n},\hypero{n})$, where $\hypero{n}$ is the
hyperoctahedral subgroup of the symmetric group $\symg{2n}$, following the work
of Farahat and Higman on centers of symmetric group rings \cite{FH}.

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