Enumeration of alternating sign matrices of even size (quasi)-invariant under a quarter-turn rotation

The aim of this work is to enumerate alternating sign matrices (ASM) that are quasi-invariant under a quarter-turn. The enumeration formula (conjectured by Duchon) involves, as a product of three terms, the number of unrestrited ASm's and the number of half-turn symmetric ASM's.

Detalhes bibliográficos
Principais autores: Jean-Christophe Aval, Philippe Duchon
Formato: Artigo
Idioma:English
Publicado em: Discrete Mathematics & Theoretical Computer Science 2009-01-01
coleção:Discrete Mathematics & Theoretical Computer Science
Assuntos:
Acesso em linha:https://dmtcs.episciences.org/2726/pdf