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Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

arXiv:math-ph/0002001

Abstract

The finite dimensional representations of associative quadratic algebras with three generators are investigated by using a technique based on the deformed parafermionic oscillator algebra. One application on the calculation of the eigenvalues of the two-dimensional superintegrable systems is discussed.

14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, Turkey

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