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

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

1998-04-13

arxiv.org/abs/solv-int/9804014v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX

Scientific paper

The problem of construction of irreducible representations of quantum $A^q_n$
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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