Benoı̂t Collins

activity

20112021

most citedA maximality result for orthogonal quantum groups

19 citations · 38 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2021

A metric characterization of freeness

Léonard Cadilhac, Benoit Collins

Let $M$ be a finite von Neumann algebra and $u_{1}, \dots, u_{N}$ be unitaries in $M$ . We show that $u_{1}, \dots, u_{N}$ freely generate $L (F_{N})$ if and only if $…

math.ST2012★ 19 cited

Integration of invariant matrices and application to statistics

Benoit Collins, Sho Matsumoto, Nadia Saad

We consider random matrices that have invariance properties under the action of unitary groups (either a left-right invariance, or a conjugacy invariance), and we give formulas for…

math.QA2011★ 19 cited

A maximality result for orthogonal quantum groups

Teodor Banica, Julien Bichon, Benoit Collins +1

We prove that the quantum group inclusion $O_{n} \subset O_{n}^{*}$ is "maximal", where $O_{n}$ is the usual orthogonal group and $O_{n}^{*}$ is the half-liberated orthogonal quantum group, in…