We elaborate on the results in ``Splitting the square of a Schur function into its symmetric and antisymmetric parts '' [Carre Leclerc, J. algebr. combinat. 4, 1995]. We give bijective proof of a number of identities that were established there, in particular between the Yamanouchi domino tableaux, and the ordinary Littlewood-Richardson fillings that correspond to the same tensor product decomposition.

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

van Leeuwen, M.A.A. (1997). Some bijective correspondence involving domino tableaux. Modelling, Analysis and Simulation [MAS]. CWI.