Quantum automorphism groups of small metric spaces
| dc.creator | Banica, Teodor | |
| dc.date | 2003-04-02 | |
| dc.date | 2004-02-10 | |
| dc.date.accessioned | 2026-07-07T04:56:34Z | |
| dc.date.available | 2026-07-07T04:56:34Z | |
| dc.description | To any finite metric space $X$ we associate the universal Hopf $\c^*$-algebra $H$ coacting on $X$. We prove that spaces $X$ having at most 7 points fall into one of the following classes: (1) the coaction of $H$ is not transitive; (2) $H$ is the algebra of functions on the automorphism group of $X$; (3) $X$ is a simplex and $H$ corresponds to a Temperley-Lieb algebra; (4) $X$ is a product of simplexes and $H$ corresponds to a Fuss-Catalan algebra. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0304025 | |
| dc.identifier | http://arxiv.org/abs/math/0304025 | |
| dc.identifier | Pacific J. Math. 219 (2005), 27-51 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66964 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantum automorphism groups of small metric spaces | |
| dc.type | text |