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- W2093085368 abstract "An analogue of the exponential generating function for derangement numbers in the symmetric group algebras is introduced. It leads to n mutually orthogonal idempotents in the group algebra of the symmetric group S n , for all n . The corresponding representations of S n have dimensions equal to the number of permutations with given number of fixed points. They are closely related to the higher Lie representations of S n . As a consequence, new proofs are obtained for a number of results on derangement numbers due to Désarménien, Gessel, Reutenauer and Wachs." @default.
- W2093085368 created "2016-06-24" @default.
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- W2093085368 date "2003-07-01" @default.
- W2093085368 modified "2023-10-04" @default.
- W2093085368 title "Idempotents for derangement numbers" @default.
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- W2093085368 doi "https://doi.org/10.1016/s0012-365x(02)00757-4" @default.
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