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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212021 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectral Theory of the Nazarov-Sklyanin Lax Operator. Ryan Mickler and Alexander Moll. SIGMA 19 (2023), 063, 22 pages |