158 citations · 1.3k across the 38 of their papers we have counts for
35 papers
On the status of DELL systems
A. Mironov, A. Morozov
A detailed review of the -duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the…
Commutative subalgebras from Serre relations
A. Mironov, V. Mishnyakov, A. Morozov +1
We demonstrate that commutativity of numerous one-dimensional subalgebras in algebra, i.e. the existence of many non-trivial integrable systems described in recent a…
Commutative families in , integrable many-body systems and hypergeometric -functions
A. Mironov, V. Mishnyakov, A. Morozov +1
We explain that the set of new integrable systems generalizing the Calogero family and implied by the study of WLZZ models, which was described in arXiv:2303.05273, is only the tip…
Many-body integrable systems implied by WLZZ models
A. Mironov, A. Morozov
We provide some details about the recently discovered integrable systems implied by commutativity of operators along the rays on the plane of roots of -algebra. The s…
-deformed (skew) Hurwitz -functions
Fan Liu, A. Mironov, V. Mishnyakov +4
We follow the general recipe for constructing commutative families of -operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order…
On KP-integrable skew Hurwitz -functions and their -deformations
A. Mironov, V. Mishnyakov, A. Morozov +2
We extend the old formalism of cut-and-join operators in the theory of Hurwitz -functions to description of a wide family of KP-integrable {\it skew} Hurwitz -functions, whic…