2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100867We study a scheme M closely related to the set of pairs of n by n-matrices with rank 1 commutator. We show that M is a reduced complete intersection with n+1 irreducible components, which we describe. There is a distinguished Lagrangian subvariety Nil in M. We introduce a category, C, of D-modules whose characteristic variety is contained in Nil. Simple objects of that category are analogous to Lusztig's character sheaves. We construct a functor of Quantum Hamiltonian reduction from category C to the category O for type A rational Cherednik algebra.Final version, to appear in IMRN. Introduction expanded, many minor corresctions made, section 7 rewritten, an Appendix addedRepresentation TheoryAlgebraic GeometryQuantum Algebratext