Symplectic right keys -- Type C Willis' direct way
Combinatorics
2021-05-03 v1
Abstract
It is known that the right key of a Kashiwara-Nakashima tableau can be computed using the Lecouvey-Sheats symplectic jeu de taquin. Motivated by Willis' direct way of computing type A right keys, we also give a way of computing symplectic right keys without the use of jeu de taquin.
Cite
@article{arxiv.2104.15000,
title = {Symplectic right keys -- Type C Willis' direct way},
author = {João Miguel Santos},
journal= {arXiv preprint arXiv:2104.15000},
year = {2021}
}
Comments
12 pages. To appear in Formal Power Series and Algebraic Combinatorics 2021. arXiv admin note: text overlap with arXiv:1910.14115