17 citations · 51 across the 5 of their papers we have counts for
5 papers
Cyclotomic root systems and bad primes
Michel Broué, Ruth Corran, Jean Michel
We generalize the definition and properties of root systems to complex reflection groups - roots become rank one projective modules over the ring of integers of a number field k. I…
Braid groups of imprimitive complex reflection groups
Ruth Corran, Eon-Kyung Lee, Sang-Jin Lee
We obtain new presentations for the imprimitive complex reflection groups of type and their braid groups for . Diagrams for these presentations ar…
A new Garside structure for braid groups of type
Ruth Corran, Matthieu Picantin
We describe a new presentation for the complex reflection groups of type and their braid groups. A diagram for this presentation is proposed. The presentation is a monoid…
Non-crossing partitions of type (e,e,r)
David Bessis, Ruth Corran
We investigate a new lattice of generalised non-crossing partitions, constructed using the geometry of the complex reflection group . For the particular case (resp.…
Garside structure for the braid group of G(e,e,r)
David Bessis, Ruth Corran
We give a new presentation of the braid group of the complex reflection group which is positive and homogeneous, and for which the generators map to reflections in t…