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math-ph2012
Bannai-Ito polynomials and dressing chains
Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet +1
Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and the…
math-ph2012★ 18 cited
The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2)
Vincent X Genest, Luc Vinet, Alexei Zhedanov
The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials…
math-ph2011★ 9 cited
Representations of the Schrödinger group and matrix orthogonal polynomials
Luc Vinet, Alexei Zhedanov
The representations of the Schrödinger group in one space dimension are explicitly constructed in the basis of the harmonic oscillator states. These representations are seen to inv…