2 citations · 4 across the 5 of their papers we have counts for
9 papers
Rational Cherednik algebras and Hilbert schemes
I. Gordon, J. T. Stafford
Let H_c be the rational Cherednik algebra of type A_{n-1} with spherical subalgebra U_c = eH_ce. Then U_c is filtered by order of differential operators, with associated graded rin…
Differential Operators and Cohomology Groups on the Basic Affine Space
T. Levasseur, J. T. Stafford
We study the ring of differential operators D(X) on the basic affine space X=G/U of a complex semisimple group G with maximal unipotent subgroup U. One of the main results shows th…
Simplicity of noncommutative Dedekind domains
K. R. Goodearl, J. T. Stafford
The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is simple. Weaker versions of this dichotomy are proved for Dedekind p…
Sklyanin algebras and Hilbert schemes of points
T. A. Nevins, J. T. Stafford
We construct projective moduli spaces for torsion-free sheaves on noncommutative projective planes. These moduli spaces vary smoothly in the parameters describing the noncommutativ…
Noncommutative projective geometry
J. T. Stafford
This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of smal…
O_e(G) is a free module over O(G)
K. A. Brown, I. Gordon, J. T. Stafford
We show that the quantised function algebra O_e(G) of a simply-connected semisimple algebraic group G at a root of unity is a free module over the subring isomorphic to O(G).