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VOLUME 108 (2018) | ISSUE 10 | PAGE 721
New symmetries for the Uq(slN) 6-j symbols from the Eigenvalue conjecture
Abstract
In the present paper we discuss the eigenvalue conjecture, suggested in 2012, in the particular case of Uq(sl2). The eigenvalue conjecture provides a certain symmetry for Racah coefficients and we prove that the eigenvalue conjecture is provided by the Regge symmetry for Uq(sl2), when three representations coincide. This in perspective provides us a kind of generalization of the Regge symmetry to arbitrary Uq(slN).