Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules

Luis Enrique Ramirez

Abstract


In this paper we present an explicit description of all irreducible \(\mathfrak{sl}(3)\)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.


Keywords


Gelfand-Tsetlin modules, weight modules, Gelfand-Tsetlin basis

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