18 citations · 67 across the 32 of their papers we have counts for
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Hooks generate the representation ring of the symmetric group
Ivan Marin
We prove that the representation ring of the symmetric group on letters is generated by the exterior powers of its natural -dimensional representation. The proof we give…
Residual nilpotence for generalizations of pure braid groups
Ivan Marin
It is known that the pure braid groups are residually torsion-free nilpotent. This property is however widely open for the most obvious generalizations of these groups, like pure A…
The cubic Hecke algebra on at most 5 strands
Ivan Marin
We prove that the quotient of the group algebra of the braid group on 5 strands by a generic cubic relation has finite rank. This was conjectured in 1998 by Broué, Malle and Rouqui…
The center of pure complex braid groups
François Digne, Ivan Marin, Jean Michel
Broué, Malle and Rouquier conjectured in that the center of the pure braid group of an irreducible finite complex reflection group is cyclic. We prove this conjecture, for the rema…