Regge and Okamoto symmetries
Representation Theory
2009-11-11 v1 Quantum Algebra
Abstract
We will relate the surprising Regge symmetry of the Racah-Wigner 6j symbols to the surprising Okamoto symmetry of the Painleve VI differential equation. This then presents the opportunity to give a conceptual derivation of the Regge symmetry, as the representation theoretic analogue of the author's previous derivation of the Okamoto symmetry. [The resulting derivation is quite simple, so it would be surprising if it has not been previously observed. Any references would be appreciated!]
Cite
@article{arxiv.math/0603398,
title = {Regge and Okamoto symmetries},
author = {Philip Boalch},
journal= {arXiv preprint arXiv:math/0603398},
year = {2009}
}
Comments
14 pages