2 papers
math-ph2025
Superintegrability of -matrix models and quantum toroidal algebra recursions
Luca Cassia, Victor Mishnyakov
-deformed matrix models give rise to representations of the deformed Virasoro algebra and more generally of the quantum toroidal algebra. These representatio…
math-ph2025
Generalized Macdonald functions and quantum toroidal gl(1) algebra
Jean-Emile Bourgine, Luca Cassia, Artem Stoyan
The Macdonald operator is known to coincide with a certain element of the quantum toroidal algebra in the Fock representation of levels . A generalization…