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- W2967075172 abstract "In this paper, we give the decomposition into irreducible characters of the restriction to the wreath product $mathbb{Z}_{p-1} wr mathfrak{S}_w$ of any irreducible character of $(mathbb{Z}_p rtimes mathbb{Z}_{p-1}) wr mathfrak{S}_w$, where $p$ is any odd prime, $w geq 0$ is an integer, and $mathbb{Z}_p$ and $mathbb{Z}_{p-1}$ denote the cyclic groups of order $p$ and $p-1$ respectively. This answers the question of how to decompose the restrictions to $p$-regular elements of irreducible characters of the symmetric group $mathfrak{S}_n$ in the $mathbb{Z}$-basis corresponding to the $p$-basic set of $mathfrak{S}_n$ described by Brunat and Gramain in [1]. The result is given in terms of the Littlewood-Richardson coefficients for the symmetric group." @default.
- W2967075172 created "2019-08-22" @default.
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- W2967075172 date "2019-08-09" @default.
- W2967075172 modified "2023-09-27" @default.
- W2967075172 title "Restriction of characters to subgroups of wreath products and basic sets for the symmetric group" @default.
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