18 citations · 67 across the 32 of their papers we have counts for
42 papers
The Malcev completion of complex braid groups
Ivan Marin
In this short note we provide an alternative proof of a theorem of Kapovich and Millson about the Malcev completion of an arbitrary Artin group, and determine the Malcev completion…
Randomized simplicial sets
Ivan Marin
We construct new geometric realizations of simplicial and pre-simplicial sets where the standard -simplex, viewed as the space of probability measures on elements, is repl…
Parabolic subgroups of complex braid groups
Juan González-Meneses, Ivan Marin
In this paper we introduce a class of `parabolic' subgroups for the generalized braid group associated to an arbitrary irreducible complex reflection group, which maps onto the col…
Cohomology of quasi-abelianized braid groups
Filippo Callegaro, Ivan Marin
We investigate the rational cohomology of the quotient of (generalized) braid groups by the commutator subgroup of the pure braid groups. We provide a combinatorial description of…
Hecke algebras of normalizers of parabolic subgroups
Thomas Gobet, Ivan Marin
In the context of Hecke algebras of complex reflection groups, we prove that the generalized Hecke algebras of normalizers of parabolic subgroups are semidirect products, under sui…
On the largest representation in type
Ivan Marin
In this technical note, we complete the PhD work of A. Esterle about determining the image of any Artin group of finite Coxeter type inside the associated Hecke algebra over a fini…