9 citations · 14 across the 10 of their papers we have counts for
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Knizhnik-Zamolodchikov bundles are topologically trivial
Ivan Marin
We prove that the vector bundles at the core of the Knizhnik-Zamolodchikov and quantum constructions of braid groups representations are topologically trivial bundles. We provide p…
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…