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arXiv · 1812.07137

Classification of irreducible Gelfand-Tsetlin modules of sl(3)

Vyacheslav Futorny·Dimitar Grantcharov·Luis Enrique Ramirez
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Abstract

We provide a classification and an explicit realization of all irreducible Gelfand-Tsetlin modules of the complex Lie algebra sl(3). The realization of these modules uses regular and derivative Gelfand-Tsetlin tableaux. In particular, we list all simple Gelfand-Tsetlin sl(3)-modules with infinite-dimensional weight spaces. Also, we express all simple Gelfand-Tsetlin sl(3)-modules as subquotionets of localized Gelfand-Tsetlin E_{21}-injective modules.

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BibTeXRIS

Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez. 2018-12-18. Classification of irreducible Gelfand-Tsetlin modules of sl(3). https://arxiv.org/abs/1812.07137

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