An overview is provided of some of the basic facts concerning rim hook lattices and ribbon tableaux, using a representation of partitions by their edge sequences. An action is defined of the affine Coxeter group of type $tilde A_{r-1$ on the $r$-rim hook lattice, and thereby on the sets of standard and semistandard ribbon tableaux, and this action is related to the concept of chains in $r$-ribbon tableaux.

Combinatorial aspects of representation theory (msc 05E10)
Modelling, Analysis and Simulation [MAS]

van Leeuwen, M.A.A. (1997). Edge sequences, ribbon tableaux, and an action of affine permutations. Modelling, Analysis and Simulation [MAS]. CWI.