Faces of polyhedra associated with relation modules

Author(s)

Benitez, German ; Ramirez, Luis Enrique

• Document type: Journal article
• Source: ARKIV FOR MATEMATIK; v. 60, n. 2, p. 20-pg., 2022-01-01.

Abstract

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)

• FAPESP's process: 18/17955-7 - Tableaux realization of cuspidal modules for Simple Lie algebras
• Grantee: Luis Enrique Ramírez
• Support Opportunities: Regular Research Grants