13 citations · 28 across the 4 of their papers we have counts for
4 papers
A note on noncommutative Poisson structures
William Crawley-Boevey
We introduce a new type of noncommutative Poisson structure on associative algebras. It induces Poisson structures on the moduli spaces classifying semisimple modules. Path algebra…
A note on sub-bundles of vector bundles
William Crawley-Boevey, Bernt Tore Jensen
It is easy to imagine that a subvariety of a vector bundle, whose intersection with every fibre is a vector subspace of constant dimension, must necessarily be a sub-bundle. We giv…
Noncommutative Geometry and Quiver algebras
William Crawley-Boevey, Pavel Etingof, Victor Ginzburg
We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutati…
Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
William Crawley-Boevey, Peter Shaw
We introduce a family of algebras which are multiplicative analogues of preprojective algebras, and their deformations, as introduced by M. P. Holland and the first author. We show…