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A remark on rational Cherednik algebras and differential operators on the cyclic quiver
Iain Gordon
We show that the spherical subalgebra of the rational Cherednik algebra associated to the wreath product of a symmetric group and a cyclic group is isomorphic to a quotient of the…
Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities
Iain Gordon, S. Paul Smith
We give an equivalence of triangulated categories between the derived category of finitely generated representations of symplectic reflection algebras associated with wreath produc…
Baby Verma modules for rational Cherednik algebras
Iain Gordon
Symplectic reflection algebras arise in many different mathematical disciplines: integrable systems, Lie theory, representation theory, differential operators, symplectic geometry.…
Poisson orders, symplectic reflection algebras and representation theory
Kenneth A. Brown, Iain Gordon
We introduce a new class of algebras called Poisson orders. This class includes the symplectic reflection algebras of Etingof and Ginzburg, many quantum groups at roots of unity, a…
Subregular representations of $\sl_n$ and simple singularities of type
Iain Gordon, Dmitriy Rumynin
Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutat…
The ramifications of the centres: quantised function algebras at roots of unity
K. A. Brown, I. Gordon
Let H be a Hopf algebra which is a finite module over a central sub-Hopf algebra R. We continue the study of such algebras begun in RT/9911234, concentrating in this case on the ex…