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On beta pentagon relations

arXiv:1403.1298 · doi:10.1007/s11232-014-0208-4

Abstract

The (quantum) pentagon relation underlies the existing constructions of three dimensional quantum topology in the combinatorial framework of triangulations. Following the recent works \cite{KashaevLuoVartanov2012,AndersenKashaev2013}, we discuss a special type of integral pentagon relations and their relationships with the Faddeev type operator pentagon relations.

11 pages, Theorem 2 generalized to arbitrary LCA groups and renumbered to Theorem 1

On beta pentagon relations · wovepaper