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The Gel'fand-Tsetlin Selection Rules and Representations of Quantum Algebras

A. N. Leznov

solv-intarXiv:solv-int/9804014

Abstract

The problem of construction of irreducible representations of quantum Aqn algebras is solved at the level of explicit integration of the linear (inhomogeneous) system in finite differences in the n-dimensional space. The general solution of this system is given explicitly and particular ones, which correspond to the irreducible representations are selected.

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