<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 |