Geodesic
Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux
Soichi Okada1
1Nagoya University
The electronic journal of combinatorics, Tome 23 (2016) no. 4
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We present several equinumerous results between generalized oscillating tableaux and semistandard tableaux and give a representation-theoretic proof to them. As one of the key ingredients of the proof, we provide Pieri rules for the symplectic and orthogonal groups.
DOI : 10.37236/6214
Classification : 05E10
Mots-clés : standard tableuax, oscillating tableaux, semistandard tableaux, Pieri rules

Soichi Okada  1

1 Nagoya University 
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     author = {Soichi Okada},
     title = {Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux},
     journal = {The electronic journal of combinatorics},
     year = {2016},
     volume = {23},
     number = {4},
     doi = {10.37236/6214},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/6214/}
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Soichi Okada. Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/6214

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