This material has been published in Electronic J. Combin. 3 (No. 2, "The Foata Festschrift") (1996), #R14, 24 pp.

Christian Krattenthaler

A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin

(24 pages)

Abstract. A bijective proof of the product formula for the principal specialization of super Schur functions (also called hook Schur functions) is given using the combinatorial description of super Schur functions in terms of certain tableaux due to Berele and Regev. Our bijective proof is based on the Hillman-Grassl algorithm and Schützenberger's jeu de taquin.

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