Symplectic right keys -- Type C Willis' direct way

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.

12 pages. To appear in Formal Power Series and Algebraic Combinatorics 2021. arXiv admin note: text overlap with arXiv:1910.14115