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math.QA2021★ 1 cited
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…
math.QA2011
Generalized Macdonald-Ruijsenaars systems
M. Feigin, A. Silantyev
We consider the polynomial representation of Double Affine Hecke Algebras (DAHAs) and construct its submodules as ideals of functions vanishing on the special collections of affine…
math.QA2008★ 3 cited
Generalized Calogero-Moser systems from rational Cherednik algebras
M. V. Feigin
We consider ideals of polynomials vanishing on the W-orbits of the intersections of mirrors of a finite reflection group W. We determine all such ideals which are invariant under t…