  We use a skein-theoretic version of the Hecke algebras of type A to present
three-dimensional diagrammatic views of Gyoja's idempotent elements, based
closely on the corresponding Young diagram. In this context we give
straightforward calculations for the eigenvalues of two natural central
elements in the Hecke algebras, namely the full curl and the sum of the Murphy
operators. We discuss their calculation also in terms of the framing factor
associated to the appropriate irreducible representation of the quantum group
SU(N,q).
