8 citations · 26 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Canonical systems and non-commutative geometry
Lieven Le Bruyn, Markus Reineke
Inspired by ideas from non-commutative geometry, unions of moduli spaces of linear control systems are identified as open subsets of infinite Grassmannians.