New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence
| العنوان: | New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence |
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| المؤلفون: | Hallnäs, Martin, 1979 |
| المصدر: | Kvasi-invarianter för ändliga Coxeter-grupper och integrabla system Constructive Approximation. 59(1):113-142 |
| مصطلحات موضوعية: | Lassalle–Nekrasov correspondence, Orthogonal polynomials, Super-Jack polynomials, Calogero–Moser–Sutherland systems |
| الوصف: | The super-Jack polynomials, introduced by Kerov, Okounkov and Olshanski, are polynomials in n+ m variables, which reduce to the Jack polynomials when n= 0 or m= 0 and provide joint eigenfunctions of the quantum integrals of the deformed trigonometric Calogero–Moser–Sutherland system. We prove that the super-Jack polynomials are orthogonal with respect to a bilinear form of the form (p, q) ↦ (Lpq) (0) , with Lp quantum integrals of the deformed rational Calogero–Moser–Sutherland system. In addition, we provide a new proof of the Lassalle–Nekrasov correspondence between deformed trigonometric and rational harmonic Calogero–Moser–Sutherland systems and infer orthogonality of super-Hermite polynomials, which provide joint eigenfunctions of the latter system. |
| وصف الملف: | electronic |
| URL الوصول: | https://research.chalmers.se/publication/535075 https://research.chalmers.se/publication/535075/file/535075_Fulltext.pdf |
| قاعدة البيانات: | SwePub |
Find this article in full text from Springer Verlag. | تدمد: | 01764276 14320940 |
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| DOI: | 10.1007/s00365-023-09636-2 |