6 citations · 13 across the 4 of their papers we have counts for
5 papers
Slices of groupoids are group-like
Nicholas Cooney, Jan E. Grabowski
Given a category, one may construct slices of it. That is, one builds a new category whose objects are the morphisms from the category with a fixed codomain and morphisms certain c…
Quantum Weyl algebras and reflection equation algebras at a root of unity
Nicholas Cooney, Iordan Ganev, David Jordan
We compute the center and Azumaya locus in the simplest non-abelian examples of quantized multiplicative quiver varieties at a root of unity: quantum Weyl algebras of rank , and…
Automorphism groupoids in noncommutative projective geometry
Nicholas Cooney, Jan E. Grabowski
We address a natural question in noncommutative geometry, namely the rigidity observed in many examples, whereby noncommutative spaces (or equivalently their coordinate algebras) h…
The parabolic exotic t-structure
Pramod Achar, Nicholas Cooney, Simon Riche
Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its f…
Quantum Multiplicative Hypertoric Varieties and Localization
Nicholas Cooney
We consider q-deformations of multiplicative hypertoric varieties, for q a non-zero element of an algebraically closed field of characteristic 0. We construct an algebra Dq of q-di…