33 citations · 85 across the 27 of their papers we have counts for
5 papers · 1 filter
Classification of the invariant subspaces of the Cohen-Wales representation of the Artin group of type
Claire I. Levaillant
Recently, Cohen and Wales built a faithful linear representation of the Artin group of type , hence showing the linearity of this group. It was later discovered that this repr…
Classification of the invariant subspaces of the Lawrence-Krammer representation
Claire I. Levaillant
The Lawrence-Krammer representation was used in to show the linearity of the braid group. The problem had remained open for many years. The fact that the Lawrence-Krammer re…
Irreducibility of the Lawrence-Krammer representation of the BMW algebra of type , PhD thesis California Institute of Technology 2008
Claire Levaillant
Given two nonzero complex parameters and , we construct by the mean of knot theory a matrix representation of size $\chl$ of the BMW algebra of type with parameter…
Parameters for which the Lawrence-Krammer representation is reducible
Claire I. Levaillant, David B. Wales
We show that the Lawrence-Krammer representation based on two parameters that was used by Bigelow and independently Krammer to show the linearity of the braid group is generically…
Irreducibility of the Lawrence-Krammer representation of the BMW algebra of type
Claire Isabelle Levaillant
It is known that the Lawrence-Krammer representation of the Artin group of type based on the two parameters and that was used by Krammer and independently by Bige…