Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

2000/02/02 by C. Daskaloyannis, Daskaloyannis, C.
Computer Science · Mathematics · Physics and Astronomy · #81R05 #81S05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #math-ph #math.MP #math.QA #msc:81R05 #msc:81S05 #nlin.SI #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0002001

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

arxiv created 2000/02/02 · openalex publication_date 2000/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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