Free product formulae for quantum permutation groups
| dc.creator | Banica, Teodor | |
| dc.creator | Bichon, Julien | |
| dc.date | 2005-03-22 | |
| dc.date | 2006-03-01 | |
| dc.date.accessioned | 2026-07-07T08:26:31Z | |
| dc.date.available | 2026-07-07T08:26:31Z | |
| dc.description | Associated to a finite graph $X$ is its quantum automorphism group $G(X)$. We prove a formula of type $G(X*Y)=G(X)*_wG(Y)$, where $*_w$ is a free wreath product. Then we discuss representation theory of free wreath products, with the conjectural formula $μ(G*_wH)=μ(G)\boxtimesμ(H)$, where $μ$ is the associated spectral measure. This is verified in two situations: one using free probability techniques, the other one using planar algebras. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503461 | |
| dc.identifier | http://arxiv.org/abs/math/0503461 | |
| dc.identifier | J. Inst. Math. Jussieu 6 (2007), 381-414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136968 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 (46L37, 46L54) | |
| dc.title | Free product formulae for quantum permutation groups | |
| dc.type | text |