Irreducible Generic Gelfand-Tsetlin Modules of gl(n)

JOURNAL ARTICLE

Year: 2015 Journal: Symmetry Integrability and Geometry Methods and Applications Publisher: National Academy of Sciences of Ukraine

DOI: 10.3842/sigma.2015.018

Abstract

We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).

Keywords:

Mathematics Algebra over a field Irreducible representation Lie algebra Pure mathematics

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Advanced Algebra and Geometry

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Algebraic structures and combinatorial models

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