Séminaire Lotharingien de Combinatoire, B20b (1988), 11 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 372/S-20, p. 57-78.]

Marie-Pierre Delest, Serge Dulucq and Luc Favreau

An analogue to Robinson-Schensted correspondence for oscillating tableaux

Abstract. We give the hook formula for oscillating tableaux of length n and final shape l, and using a bijective proof we construct an analogue of the Robinson-Schensted correspondence to prove the dimension identity


related to the irreducible representation of the Brauer algebra of the symplectic group. This correspondence turns out to have most of the ordinary Robinson-Schensted correspondence properties.

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