13 citations · 35 across the 12 of their papers we have counts for
12 papers
Generalised spin Calogero-Moser systems from Cherednik algebras
Misha Feigin, Mikhail Vasilev, Martin Vrabec
Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 199…
Legendre transforms for type and -systems
Misha Feigin, Leo Kaminski, Ian A. B. Strachan
The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transf…
Two invariant subalgebras of rational Cherednik algebras
Gwyn Bellamy, Misha Feigin, Niall Hird
Originally motivated by connections to integrable systems, two natural subalgebras of the rational Cherednik algebra have been considered in the literature. The first is the subalg…
-Analogue of the degree zero part of a rational Cherednik algebra and generalised Van Diejen's Hamiltonians
Misha Feigin, Martin Vrabec
Inside the double affine Hecke algebra of type , which depends on two parameters and , we define a subalgebra that may be thought of as…
Integral expressions for derivations of multiarrangements
Misha Feigin, Zixuan Wang, Masahiko Yoshinaga
The construction of an explicit basis for a free multiarrangement is not easy in general. Inspired by the integral expressions for quasi-invariants of quantum Calogero-Moser system…
Flat coordinates of algebraic Frobenius manifolds in small dimensions
Misha Feigin, Daniele Valeri, Johan Wright
Orbit spaces of the reflection representation of finite irreducible Coxeter groups provide polynomial Frobenius manifolds. Flat coordinates of the Frobenius metric are Saito po…