This article is cited in 7 papers

RESEARCH ARTICLE

Combinatorics of irreducible Gelfand–Tsetlin $sl(3)$-modules

Luis Enrique Ramirez

Institute of Mathematics and Statistics, University of Sao Paulo, Sao Paulo, Brazil

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.

MSC: 17B35, 17B37, 17B67, 16D60, 16D90, 16D70, 81R10

Received: 14.02.2012
Accepted: 14.02.2012

Language: English

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