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arxiv: 1610.07299 · v1 · pith:XSLYFWY2new · submitted 2016-10-24 · 🧮 math.RT · math.CO

Coincidences between characters to hooks and 2-part partitions on families arising from 2-regular classes

classification 🧮 math.RT math.CO
keywords charactersclassescoincidencesfamilieshookspartpartitionsregev
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Strongly refining results by Regev, Regev and Zeilberger, we prove surprising coincidences between characters to 2-part partitions of size n and characters to hooks of size n+2 on two related families obtained by extending 2-regular conjugacy classes.

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