Thông tin tài liệu
Nhan đề : | New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence |
Tác giả : | Martin, Hallnäs |
Năm xuất bản : | 2023 |
Nhà xuất bản : | Springer |
Tóm tắt : | 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. |
Mô tả: | CC BY |
URI: | https://link.springer.com/article/10.1007/s00365-023-09636-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7636 |
Bộ sưu tập | OER - Khoa học Tự nhiên |
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