68 citations · 200 across the 20 of their papers we have counts for
21 papers
Commutativity equations and their trigonometric solutions
Maali Alkadhem, Misha Feigin
We consider commutativity equations for a function where is a matrix of the third order derivatives . We show that under cer…
Bispectrality of Calogero-Moser-Sutherland system
Misha Feigin, Martin Vrabec
We consider the generalised Calogero-Moser-Sutherland quantum integrable system associated to the configuration of vectors , which is a union of the root systems and $G…
Free reflection multiarrangements and quasi-invariants
Takuro Abe, Naoya Enomoto, Misha Feigin +1
To a complex reflection arrangement with an invariant multiplicity function one can relate the space of logarithmic vector fields and the space of quasi-invariants, which are both…
Trigonometric -systems and solutions of WDVV equations
Maali Alkadhem, Misha Feigin
We consider a class of trigonometric solutions of WDVV equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special…
The Saito determinant for Coxeter discriminant strata
Georgios Antoniou, Misha Feigin, Ian A. B. Strachan
Let be a finite Coxeter group and its reflection representation. The orbit space has the remarkable Saito flat metric defined as a Lie derivative of th…
Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence
M. V. Feigin, M. A. Hallnäs, A. P. Veselov
Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the rational Calogero-Moser system with a harmonic term and its trigonometric version. We present…