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arxiv: 1606.02375 · v1 · pith:RJ7ARF5Gnew · submitted 2016-06-08 · 🧮 math.CO · math.RT

Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux

classification 🧮 math.CO math.RT
keywords tableauxgeneralizedgroupsoscillatingpieriproofrulessemistandard
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We present several equinumerous results between generalized oscillating tableaux and semistandard tableaux and give a representation-theoretical proof to them. As one of the key ingredients of the proof, we provide Pieri rules for the symplectic and orthogonal groups.

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