Bijections among combinatorial models for shifted Littlewood–Richardson coefficients

We provide bijections among three combinatorial models for shifted Littlewood–Richardson coefficients; Littlewood–Richardson–Stembridge tableaux, λ-good semistandard decomposition tableaux, and shifted Littlewood–Richardson decomposition tableaux. To do this, we construct a bijection between the set of semistandard shifted decomposition tableaux and the set of reverse semistandard shifted decomposition tableaux.