To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras
classification
solv-int
hep-thmath-phmath.MPnlin.SI
keywords
fand-tsetlinirreduciblerealizationrepresentationssystemalgebraalgebrasclassical
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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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