45 citations · 98 across the 22 of their papers we have counts for
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Elliptic triad
A. Mironov, A. Morozov, A. Popolitov +1
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of .…
CMM formula as superintegrability property of unitary model
A. Mironov, A. Morozov, A. Popolitov
A typical example of superintegrability is provided by expression of the Hopf link hyperpolynomial in an arbitrary representation through a pair of the Macdonald polynomials at spe…
Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems
A. Mironov, A. Morozov, A. Popolitov
Macdonald symmetric polynomial at reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear diffe…
A basic triad in Macdonald theory
A. Mironov, A. Morozov, A. Popolitov
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A. Veselov an…
On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians
A. Mironov, A. Morozov, A. Popolitov
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at to a sum over permutations of simpler polynomial…
Commutative families in DIM algebra, integrable many-body systems and matrix models
A. Mironov, A. Morozov, A. Popolitov
We extend our consideration of commutative subalgebras (rays) in different representations of the algebra to the elliptic Hall algebra (or, equivalently, to the Ding…