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

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

2012-02-10

arxiv.org/abs/1202.2325v1

Mathematics

Representation Theory

11 pages

Scientific paper

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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