Vol. 6, No. 2, 2013

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Decomposing induced characters of the centralizer of an $n$-cycle in the symmetric group on $2n$ elements

Joseph Ricci

Vol. 6 (2013), No. 2, 221–232
Abstract

We give explicit multiplicities and formulas for multiplicities of the characters appearing in the decomposition of the induced character IndCS 2n(σ)S2n1C, where σ is an n-cycle, CS2n(σ) is the centralizer of σ in S2n, and 1C is the trivial character on CS2n(σ).

Keywords
representation theory, symmetric group, character theory
Mathematical Subject Classification 2010
Primary: 20C30
Secondary: 20C15
Milestones
Received: 3 January 2012
Revised: 3 February 2012
Accepted: 17 July 2012
Published: 1 September 2013

Communicated by Nigel Boston
Authors
Joseph Ricci
Mathematics Department
University at Buffalo, SUNY
Buffalo, NY 14260
United States