Abstract
The Gelfand representation of \({\mathcal {S}}_n\) is the multiplicity-free direct sum of the irreducible representations of \({\mathcal {S}}_n\). In this paper, we use a result of Adin, Postnikov, and Roichman to find a generating function for the Gelfand character. In order to find this generating function, we investigate descents of so-called \(\lambda \)-unimodal involutions.
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