Irreducible Generic Gelfand-Tsetlin Modules of $\mathfrak{gl}(n)$
  We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra $\mathfrak{gl}(n)$. 
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
math.RT