Invariant subspaces of the LK representation of the braid group
by Claire Levaillant
Abstract: We will build a representation of the braid group on n strands by using BMW algebras and their diagrammatic interpretation. The representation that we build is equivalent to the LK representation that was used in 2001 by Bigelow and independently Krammer to show that the braid group is a linear group. We describe the invariant subspaces of this representation.
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