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arXiv · 2101.04672

On Foulkes characters

Alexander R. Miller
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Abstract

Orthogonality relations for Foulkes characters of full monomial groups are presented, along with three solutions to the problem of decomposing products of these characters, and new applications, including a product reformulation of a Markov chain for adding random numbers studied by Diaconis and Fulman, and a new proof of a theorem of Zagier which generalizes one of Harer and Zagier on the enumeration of Riemann surfaces of a given genus.

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Alexander R. Miller. 2021-01-12. On Foulkes characters. https://arxiv.org/abs/2101.04672

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