2021/07/13 by Germán Benitez, Benitez, Germán, Luis Enrique Ramírez +1
Mathematics · Engineering · #Advanced Topics in Algebra #graph theory and CDMA systems #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2107.06315
Relation Gelfand-Tsetlin \mathfrakgln-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 a matrix related to the corresponding graph.