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Original Articles

Bijective proofs of formulae for the number of standard Yound tableaux

Pages 45-100 | Published online: 30 May 2007
 

Abstract

We give a bijective proof of a formula due independently to Frobenius and Young for the number of standard Young tableau of shape λ for λ any partition. Frame, Robinson, and Thrall derived their hook formula for the number of standard Young tableau from the Frobenius-Young formula. As a corollary to our bijective proof of the Frobenius-Young formula, we also give a bijective proof of the Frame-Robinson-Thrall hook formula.

† Partially supported by NSF Grant No. MCS79-03406.

† Partially supported by NSF Grant No. MCS79-03406.

Notes

† Partially supported by NSF Grant No. MCS79-03406.

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