Asymptotics and 6j-symbols
量子代数
2007-05-23 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0201177,
title = {Asymptotics and 6j-symbols},
author = {Justin Roberts},
journal= {arXiv preprint arXiv:math/0201177},
year = {2007}
}
备注
Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper16.abs.html