Quantum automorphism groups of homogeneous graphs
| dc.creator | Banica, Teodor | |
| dc.date | 2003-11-23 | |
| dc.date | 2004-11-16 | |
| dc.date.accessioned | 2026-07-07T06:22:01Z | |
| dc.date.available | 2026-07-07T06:22:01Z | |
| dc.description | Associated to a finite graph $X$ is its quantum automorphism group $G$. The main problem is to compute the Poincaré series of $G$, meaning the series $f(z)=1+c_1z+c_2z^2+...$ whose coefficients are multiplicities of 1 into tensor powers of the fundamental representation. In this paper we find a duality between certain quantum groups and planar algebras, which leads to a planar algebra formulation of the problem. Together with some other results, this gives $f$ for all homogeneous graphs having 8 vertices or less. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311402 | |
| dc.identifier | http://arxiv.org/abs/math/0311402 | |
| dc.identifier | J. Funct. Anal. 224 (2005), 243-280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95786 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantum automorphism groups of homogeneous graphs | |
| dc.type | text |