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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1993 Jan 15;90(2):700–701. doi: 10.1073/pnas.90.2.700

On the span of supersymmetric Young tableaux.

G C Rota 1, J A Stein 1
PMCID: PMC45732  PMID: 11607354

Abstract

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.

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Selected References

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  1. Rota G. C., Stein J. A. Symbolic method in invariant theory. Proc Natl Acad Sci U S A. 1986 Feb;83(4):844–847. doi: 10.1073/pnas.83.4.844. [DOI] [PMC free article] [PubMed] [Google Scholar]

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