Domino tableaux, Schutzenberger involution, and the symmetric group action
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9709010,
title = {Domino tableaux, Schutzenberger involution, and the symmetric group action},
author = {Arkady Berenstein and Anatol N. Kirillov},
journal= {arXiv preprint arXiv:q-alg/9709010},
year = {2008}
}
Comments
PlainTeX, 11 pages. Revised version contains minor corrections and additional references