dorsal/arxiv
View SchemaDomino tableaux, Schutzenberger involution, and the symmetric group action
| Authors | Arkady Berenstein, Anatol N. Kirillov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709010 |
| URL | https://arxiv.org/abs/q-alg/9709010 |
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.
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"abstract": "We define an action of the symmetric group on the set of domino tableaux, and\nprove that the number of domino tableaux of a given weight does not depend on\nthe permutation of components of the last. A bijective proof of the well-known\nresult due to J. Stembridge that the number of self-evacuating tableaux of a\ngiven shape is equal to that of domino tableaux of the same shape is given.",
"arxiv_id": "q-alg/9709010",
"authors": [
"Arkady Berenstein",
"Anatol N. Kirillov"
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"title": "Domino tableaux, Schutzenberger involution, and the symmetric group action",
"url": "https://arxiv.org/abs/q-alg/9709010"
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