9 citations · 9 across the 3 of their papers we have counts for
5 papers
Extensions of Tong-Yang-Ma representation
Arthur Soulié, Akihiro Takano
In 1996, Tong, Yang and Ma defined a family of representations of the braid group which have the same dimensions as the (unreduced) Burau representations but are not equivalent. Th…
A note on representations of welded braid groups
Paolo Bellingeri, Arthur Soulié
In this note, we adapt the procedure of the Long-Moody procedure to construct linear representations of welded braid groups. We exhibit the natural setting in this context and comp…
Some computations of stable twisted homology for mapping class groups
Arthur Soulié
In this paper, we deal with stable homology computations with twisted coefficients for mapping class groups of surfaces and of 3-manifolds, automorphism groups of free groups with…
Generalized Long-Moody functors
Arthur Soulié
In this paper, we generalize the principle of the Long-Moody construction for representations of braid groups to other groups, such as mapping class groups of surfaces. Namely, we…
The Long-Moody construction and polynomial functors
Arthur Souli{é}
In 1994, Long and Moody gave a construction on representations of braid groups which associates a representation of \mathbf{B}\_{n} with a representation of \mathbf{B}\_{n+1}. In t…