Keys and evacuation via virtualization (Preprint)

  <Reference List>
Type: Preprint
National /International: International
Title: Keys and evacuation via virtualization
Publication Date: 2024-09-19
Authors: - Olga Azenhas
- Nicolle González
- Daoji Huang
- Jacinta Torres
Abstract:

We prove that the key map on crystals can be reduced to the simply-laced types by using virtualization of crystals. For this, we use the original definition of virtualization coming from the dilation of crystals by Kashiwara. As a direct application, we obtain algorithms to compute orthogonal evacuation, keys and Demazure atoms in type \( B_n \) in terms of Kasiwara-Nakashima tableaux. In particular, we are able to use type \( A_n \)\( \)\( \)\( \)\( \) and \( C_n \) methods. For type \( C_n \), we apply the results obtained by Azenhas-Tarighat Feller-Torres, Azenhas-Santos, and Santos.

Institution: DMUC 24-40
Online version: http://www.mat.uc.pt...prints/eng_2024.html
Download: Not available
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support