T. Gobet

activity

20122026

most citedOn cycle decompositions in Coxeter groups

8 citations · 23 across the 18 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.GR2020

On torus knot groups and a submonoid of the braid group

Thomas Gobet

The submonoid of the $3$ -strand braid group $B_{3}$ generated by $σ_{1}$ and $σ_{1} σ_{2}$ is known to yield an exotic Garside structure on $B_{3}$ . We introduce and stud…

math.RT2020

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…

math.RT2020

Braid groups of normalizers of reflection subgroups

Thomas Gobet, Anthony Henderson, Ivan Marin

Let $W_{0}$ be a reflection subgroup of a finite complex reflection group $W$ , and let $B_{0}$ and $B$ be their respective braid groups. In order to construct a Hecke algebra $\widetil…

math.RT2020★ 4 cited

Parametrization, structure and Bruhat order of certain spherical quotients

Pierre-Emmanuel Chaput, Lucas Fresse, Thomas Gobet

Let $G$ be a reductive algebraic group and let $Z$ be the stabilizer of a nilpotent element $e$ of the Lie algebra of $G$ . We consider the action of $Z$ on the flag variety of $G$ ,…