Domino tableaux, Schutzenberger involution, and the symmetric group action

Details Domino tableaux, Schutzenberger involution, and the symmetric group action Domino tableaux, Schutzenberger involution, and the symmetric group action

1997-09-04

arxiv.org/abs/q-alg/9709010v2

Mathematics

Quantum Algebra

PlainTeX, 11 pages. Revised version contains minor corrections and additional references

Scientific paper

We define an action of the symmetric group on the set of domino tableaux, and
prove that the number of domino tableaux of a given weight does not depend on
the permutation of components of the last. A bijective proof of the well-known
result due to J. Stembridge that the number of self-evacuating tableaux of a
given shape is equal to that of domino tableaux of the same shape is given.

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