68 citations · 200 across the 20 of their papers we have counts for
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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…
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…
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…
Solutions of Type of WDVV Equations
Maali Alkadhem, Georgios Antoniou, Misha Feigin
We give a family of solutions of Witten-Dijkgraaf-Verlinde-Verlinde equations in -dimensional space. It is defined in terms of root system and independent multipl…
Algebra of Dunkl Laplace-Runge-Lenz vector
Misha Feigin, Tigran Hakobyan
We consider Dunkl version of Laplace-Runge-Lenz vector associated with a finite Coxeter group acting geometrically in with multiplicity function . This vector…