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- W2945367033 abstract "The Murnaghan--Nakayama rule is a combinatorial rule for the character values of symmetric groups. We give a new combinatorial proof by explicitly finding the trace of the representing matrices in the standard basis of Specht modules. This gives an essentially bijective proof of the rule. A key lemma is an extension of a straightening result proved by the second author to skew-tableaux. Our module theoretic methods also give short proofs of Pieri's rule and Young's rule." @default.
- W2945367033 created "2019-05-29" @default.
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- W2945367033 date "2018-05-01" @default.
- W2945367033 modified "2023-09-27" @default.
- W2945367033 title "A proof of the Murnaghan--Nakayama rule using Specht modules and tableau combinatorics" @default.
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