Involutions and the Gelfand character
Combinatorics
2022-09-13 v2
Abstract
The Gelfand representation of is the multiplicity-free direct sum of the irreducible representations of . In this paper, we use a result of Adin, Postnikov, and Roichman to find a recursive generating function for the Gelfand character. In order to find this generating function, we investigate descents of so-called -unimodal involutions.
Cite
@article{arxiv.1804.02490,
title = {Involutions and the Gelfand character},
author = {Kassie Archer and Virginia Germany and C. Marin King and L. -K. Lauderdale},
journal= {arXiv preprint arXiv:1804.02490},
year = {2022}
}