3 papers
math-ph2026
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…
math-ph2024
Baker-Akhiezer function for the deformed root system and bispectrality
Iain McWhinnie, Liam Rooke, Martin Vrabec
We show that a Sergeev-Veselov difference operator of rational Macdonald-Ruijsenaars (MR) type for the deformed root system preserves a ring of quasi-invariants in the ca…
math.QA2024
-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…