The Kashaev invariants of 3–manifolds are based on 6j –symbols from the representation theory of the Weyl algebra, a Hopf algebra corresponding to the Borel subalgebra of Uq.sl.2;C// . In this paper, we show that Kashaev’s 6j –symbols are intertwining operators of local representations of quantum Teichmüller spaces. This relates Kashaev’s work with the theory of quantum Teichmüller space, which...
