English

On beta pentagon relations

Mathematical Physics 2015-06-19 v2 math.MP Quantum Algebra

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.

Cite

@article{arxiv.1403.1298,
  title  = {On beta pentagon relations},
  author = {Rinat Kashaev},
  journal= {arXiv preprint arXiv:1403.1298},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T03:21:08.928Z