Faces of polyhedra associated with relation modules

Autor(es)

Benitez, German ; Ramirez, Luis Enrique

• Tipo de documento: Artigo Científico
• Fonte: ARKIV FOR MATEMATIK; v. 60, n. 2, p. 20-pg., 2022-01-01.

Resumo

Relation Gelfand-Tsetlin gl(n)-modules were introduced in [FRZ19], and are determined by some special directed graphs and Gelfand-Tsetlin characters. In this work, we constructed polyhedra associated with the class of relation modules, which includes as a particular case, any classical Gelfand-Tsetlin polytope. Following the ideas presented in [LM04], we give a characterization of d-faces of the associated polyhedra in terms of certain tilings and matrices related to the corresponding graph. (AU)

• Processo FAPESP: 18/17955-7 - Realização por tabelas de módulos cuspidais para Álgebras de Lie Simples
• Beneficiário: Luis Enrique Ramírez
• Modalidade de apoio: Auxílio à Pesquisa - Regular