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Regge and Okamoto symmetries

Philip Boalch
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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!]

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Philip Boalch. 2006-03-16. Regge and Okamoto symmetries. https://doi.org/10.1007/s00220-007-0328-x

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