Spectral Theory of the Nazarov-Sklyanin Lax Operator
In their study of Jack polynomials, Nazarov-Sklyanin introduced a remarkable new graded linear operator 𝓛: 𝐹[𝓌] → 𝐹[𝓌] where 𝐹 is the ring of symmetric functions, and w is a variable. In this paper, we (1) establish a cyclic decomposition 𝐹[𝓌] ≅ ⨁λ 𝑍(𝑗λ, 𝓛) into finite-dimensional 𝓛-cyclic subspaces...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212021 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Spectral Theory of the Nazarov-Sklyanin Lax Operator. Ryan Mickler and Alexander Moll. SIGMA 19 (2023), 063, 22 pages |
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