Asymptotics and 6j-symbols
| dc.creator | Roberts, Justin | |
| dc.date | 2002-01-18 | |
| dc.date | 2002-10-15 | |
| dc.date.accessioned | 2026-07-07T04:45:58Z | |
| dc.date.available | 2026-07-07T04:45:58Z | |
| dc.description | Recent interest in the Kashaev-Murakami-Murakami hyperbolic volume conjecture has made it seem important to be able to understand the asymptotic behaviour of certain special functions arising from representation theory -- for example, of the quantum 6j-symbols for SU(2). In 1998 I worked out the asymptotic behaviour of the classical 6j-symbols, proving a formula involving the geometry of a Euclidean tetrahedron which was conjectured by Ponzano and Regge in 1968. In this note I will try to explain the methods and philosophy behind this calculation, and speculate on how similar techniques might be useful in studying the quantum case. | |
| dc.description | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper16.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0201177 | |
| dc.identifier | http://arxiv.org/abs/math/0201177 | |
| dc.identifier | Geom. Topol. Monogr. 4 (2002) 245-261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63152 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 22E99, 81R05, 51M20 | |
| dc.title | Asymptotics and 6j-symbols | |
| dc.type | text |