Geodesic
Combinatorics of irreducible Gelfand--Tsetlin $sl(3)$-modules
Algebra and discrete mathematics, Tome 14 (2012) no. 2, pp. 276-296

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ADM_2012_14_2_a10,
     author = {Luis Enrique Ramirez},
     title = {Combinatorics of irreducible {Gelfand--Tsetlin}  $sl(3)$-modules},
     journal = {Algebra and discrete mathematics},
     pages = {276--296},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2012_14_2_a10/}
}
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Luis Enrique Ramirez. Combinatorics of irreducible Gelfand--Tsetlin  $sl(3)$-modules. Algebra and discrete mathematics, Tome 14 (2012) no. 2, pp. 276-296. http://geodesic.mathdoc.fr/item/ADM_2012_14_2_a10/