3 papers
math.CT2021
General representation theory in relatively closed monoidal categories
A. Silantyev
We apply the notion of relative adjoint functor to generalise closed monoidal categories. We define representations in such categories and give their relation with left actions of…
math.RT2011
Singular polynomials from orbit spaces
M. Feigin, A. Silantyev
We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c. We show that for any degree…
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…