8 citations · 26 across the 8 of their papers we have counts for
11 papers
Partial Desingularizations Arising from Non-Commutative Algebras
Lieven Le Bruyn, Stijn Symens
Let X be a singular affine normal variety with coordinate ring R and assume that there is an R-order admitting a stability structure such that the scheme of relevant semistable rep…
Qurves and Quivers
Lieven Le Bruyn
In this paper we associate to a qurve A (formerly known as a quasi-free or formally smooth algebra) the one-quiver Q(A) and dimension vector a(A). This pair contains enough informa…
Three talks on noncommutative geometry@n
Lieven Le Bruyn
Notes of three talks given at the workshop 'Hilbert schemes, non-commutative algebra and the McKay correspondence' CIRM-Luminy (France) October 2003. If A is an order over a centra…
Non-commutative covers and the modular group
Lieven Le Bruyn, Jan Adriaenssens
We use non-commutative geometry to study the bulk of finite dimensional representations of the modular group SL(2,Z). We give specific 2n-parameter families of 6n-dimensional repre…
A non-commutative topology on rep A
Lieven Le Bruyn
We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite d…
One quiver to rule them all
Lieven Le Bruyn
To a formally smooth algebra A we associate a quiver setting (Q,a) containing enough information to reconstruct all the local quiver settings determining the etale local structure…