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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