Séminaire Lotharingien de Combinatoire, 80B.66 (2018), 12 pp.

Kassie Archer, Angela M. Gay, Virginia Germany, C. Marin King, Lindsey-Kay Lauderdale, Thomas Lupo, and Francesca L. Rossi

On the Number of λ-Unimodal Involutions

Abstract. For a given composition λ of the positive integer n, a λ-unimodal permutation is a permutation comprised of contiguous unimodal segments whose lengths are determined by λ. In this extended abstract, the authors present a generating function for the number of λ-unimodal involutions and address its relationship to the Gelfand character of the symmetric group.


Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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