Pinnacle sets of signed permutations

Nicolle González,Pamela E Harris,Gordon Rojas Kirby,Mariana Smit Vega Garcia,Bridget Eileen Tenner

doi:10.1016/j.disc.2023.113439

Pinnacle sets of signed permutations

Nicolle González, Pamela E Harris + Show 3 more

Open Access

https://doi.org/10.1016/j.disc.2023.113439

Copy DOI

Journal: Discrete Mathematics	Publication Date: Apr 13, 2023
License type: publisher-specific-oa

Affiliation: University of California, Berkeley, University of Wisconsin–Milwaukee, San Diego State University, Western Washington University, DePaul University

#Family Of Permutations #Admissible Sets + Show 4 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Pinnacle sets record the values of the local maxima for a given family of permutations. They were introduced by Davis-Nelson-Petersen-Tenner as a dual concept to that of peaks, previously defined by Billey-Burdzy-Sagan. In recent years pinnacles and admissible pinnacles sets for the type A symmetric group have been widely studied. In this article we define the pinnacle set of signed permutations of types B and D. We give a closed formula for the number of type B/D admissible pinnacle sets and answer several other related enumerative questions.

Full Text