Simple subquotients of relation modules

2025/07/01 by Costa, Gustavo, Pinto, Lucas Queiroz, Ramirez, Luis Enrique
#17B10 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.01221

Abstract

In this paper we provide an explicit tableaux realization for all simple subquotients of a relation Gelfand-Tsetlin \mathfrakgl(n)-module.

Citations

• Gelfand-Tsetlin modules: canonicity and calculations
• Gelfand-Tsetlin modules in the Coulomb context
• Canonical Gelfand-Zeitlin modules over orthogonal Gelfand-Zeitlin\n algebras
• Gelfand-Tsetlin modules over mathfrakgl(n, mathbb C) with arbitrary\n characters
• Drinfeld category and the classification of singular Gelfand-Tsetlin gl_n-modules
• A new way to construct 1-singular Gelfand-Tsetlin modules

Related

• Irreducible subquotients of generic gelfand-tsetlin modules over uq(gl(n))
• Combinatorial construction of Gelfand-Tsetlin modules for \mathfrakgl_n
• Gelfand-Tsetlin modules over mathfrakgl(n, mathbb C) with arbitrary\n characters
• Singular Gelfand-Tsetlin modules of \mathfrakgl(n)
• Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of\n Verma modules