Effective key maps and orthogonal evacuation (Preprint)

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Type: Preprint
National /International: International
Title: Effective key maps and orthogonal evacuation
Publication Date: 2024-11-16
Authors: - Olga Azenhas
- Nicolle González
- Daoji Huang
- Jacinta Torres
Abstract:

We prove that the key map on crystals of any classical type can be reduced to a key map on simply-laced types by using virtualization of crystals. As a direct application, we obtain new algorithms to compute evacuation, keys, and Demazure atoms in type \( B_n \) in terms of Kashiwara-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 24-47
Online version: http://www.mat.uc.pt...prints/eng_2024.html
Download: Not available
 
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