On the span of supersymmetric Young tableaux.

摘要

De Concini et al. [De Concini, C., Eisenbud, D. & Procesi, C. (1980) Invent. Math. 56, 129-165] have established for classical Young bitableaux the fact that the span of all bitableaux of shape lambda over the rationals includes all bitableaux of all shapes mu > lambda. We extend their result to the more general setting of supersymmetric Young tableaux. Our proof, even in the classical case, has the advantage of providing an explicit combinatorial algorithm for the computation of the coefficients.