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We consider the unital associative algebra A with two generators X , Z obeying the defining relation [Z,X ] = Z + ∆. We construct irreducible tridiagonal representations of A.… Click to show full abstract
We consider the unital associative algebra A with two generators X , Z obeying the defining relation [Z,X ] = Z + ∆. We construct irreducible tridiagonal representations of A. Depending on the value of the parameter ∆, these representations are associated to the Jacobi matrices of the para-Krawtchouk, continuous Hahn, Hahn or Jacobi polynomials.
Keywords:
jordan plane;
deformed jordan;
orthogonal polynomials;
polynomials deformed
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!