Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• 1. Verfasser: Uvarov, Filipp
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211823
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians. Filipp Uvarov. SIGMA 18 (2022), 081, 41 pages

We study the difference analog of the quotient differential operator from [Tarasov V., Uvarov F., Lett. Math. Phys. 110 (2020), 3375-3400, arXiv:1907.02117]. Starting with a space of quasi-exponentials =⟨αˣᵢᵢⱼ(), i = 1,…, , j = 1,…, ᵢ⟩, where αᵢ ∈ ℂ* and ᵢⱼ() are polynomials, we consider the formal...