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

Joseph Ricci

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arXiv · 1202.2325

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

Joseph Ricci

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Abstract

We give explicit multiplicities and formulas for multiplicities of characters appearing in the decomposition of the induced character Ind^{S_{2n}}_{C_{S_{2n}}({\sigma})} 1_C, where {\sigma} is an n-cycle, C_{S_{2n}}({\sigma}) is the centralizer of {\sigma} in S_{2n}, and 1_C denotes the trivial character on C_{S_{2n}}({\sigma}).

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BibTeX RIS

Joseph Ricci. 2012-02-10. Decomposing induced characters of the centralizer of an $n$-cycle in the symmetric group on $2n$-elements. https://arxiv.org/abs/1202.2325

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