La correspondance de Robinson-Schensted pour les tableaux oscillants gauches Original Research Article

We introduce an analog of the Robinson-Schensted algorithm for skew oscillating tableaux which generalizes the well-known correspondence for standard tableaux. We show that this new algorithm enjoys some of the same properties as the original. In particular, it is still true that replacing a permutation by its inverse exchanges the two output tableaux. These facts permit us to derive a number of identities involving the number of such tableaux.