Quantum hyperbolic 6j-symbols

Abstract: Traditionally, a 6j-symbol is a certain algebraic machinery
associated to a combinatorial tetrahedron with various
representations attached to its faces, edges or vertices. Combining
the 6j-symbols associated to the simplices of a manifold then defines
an invariant of this manifold. One example is the Kashaev 6j-symbol,
defined by considering the representation theory of the Weyl Hopf
algebra. We will introduce a more geometric discussion of this
Kashaev 6j-symbol. In particular, it is closely connected to the
geometry of ideal tetrahedra in hyperbolic 3-space.