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20 de may. de 2024 · Such operators, introduced in [ 6 ], were found to have applications in many fields of Mathematics, including Calogero-Moser-Sutherland (CMS) models [ 23 ], generalized CMS versions with oscillator and Coulomb interactions [ 11 ], the connection with orthogonal polynomials in several variables [ 5 ], representation theory [ 7 ], just to name a few.
15 de may. de 2024 · ing operator and angular momentum algebra [12] [11], integrable Calogero-Moser-Sutherland (CMS) models [24] [10], harmonic analysis [5], the generation of orthogonal polynomials [17], and nonlinear wave equations [18]. Another field of application arises in quantum physics when
13 de may. de 2024 · Inspired by [12], we give shuffle algebra realization of positive part of quantum affine superalgebra U-v((D) over cap (2, 1; theta)) associated to any simple root systems. We also determine the shuffle algebra associated to (sl) over cap((2 vertical bar 1) with odd root system when v is a primitive root of unity of even order, generalizing results in [4].
Hace 4 días · The generalized elliptic Ruijsenaars models, which are regarded as a difference analog of the Calogero–Sutherland–Moser models associated with the classical root systems are studied. The integrability and the duality using the fusion procedure of operator-valued solutions of the Yang–Baxter equation and the reflection equation ...
