Acta Mathematica Vietnamica
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Euler’s Beta Function and Pentagon Relations
Rinat Kashaev
Abstract
The (quantum) pentagon relations satisfied by the 6j-symbols of representation categories underlay the existing constructions in quantum topology based on combinatorics of triangulations of three-dimensional pseudo manifolds. We discuss the recent result as reported by Kashaev et al. (2012) on an integral five-term relation satisfied by Euler’s beta function.