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

A. N. Leznov

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

A. N. Leznov

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Abstract

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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solv-int hep-th math-ph math.MP math.QA nlin.SI

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BibTeX RIS

A. N. Leznov. 1998-04-13. The Gel'fand-Tsetlin Selection Rules and Representations of Quantum Algebras. https://arxiv.org/abs/solv-int/9804014

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