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Reflection groups acting on their hyperplanes
Ivan Marin
After having established elementary results on the relationship between a finite complex (pseudo-)reflection group W < GL(V) and its reflection arrangement A, we prove that the act…
Group algebras of finite groups as Lie algebras
Ivan Marin
We consider the natural Lie algebra structure on the (associative) group algebra of a finite group , and show that the Lie subalgebras associated to natural involutive antiautom…
Characters of the Grothendieck-Teichmueller group through rigidity of the Burau representation
Ivan Marin
We present examples of characters of absolute Galois groups of number fields that can be recovered through their action by automorphisms on the profinite completion of the braid gr…
Krammer representations for complex braid groups
Ivan Marin
Let B be the generalized braid group associated to some finite complex reflection group. We define a representation of B of dimension the number of reflections of the corresponding…
Branching properties for the groups G(de,e,r)
Ivan Marin
We study general properties of the restriction of the representations of the finite complex reflection groups to their maximal parabolic subgroups of type …
Cabling Burau Representation
Christian Blanchet, Ivan Marin
The Burau representation enables to define many other representations of the braid group by the topological operation of ``cabling braids''. We show here that these represent…