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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras

Authors	A. N. Leznov
Categories	solv-int hep-th math-ph math.MP nlin.SI
ArXiv ID	solv-int/9803008
URL	https://arxiv.org/abs/solv-int/9803008

Abstract

It is shown that the Gel'fand-Tsetlin realization of irreducible representations of the $A_n$ algebra is directly connected with a linear exactly integrable system in the n-dimensional space. General solution for this system is explicitly given.

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    "abstract": "It is shown that the Gel\u0027fand-Tsetlin realization of irreducible\nrepresentations of the $A_n$ algebra is directly connected with a linear\nexactly integrable system in the n-dimensional space. General solution for this\nsystem is explicitly given.",
    "arxiv_id": "solv-int/9803008",
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    "title": "To the Gel\u0027fand-Tsetlin realization of irreducible representations of   classical semisimple algebras",
    "url": "https://arxiv.org/abs/solv-int/9803008"
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