Pieri Rules for Classical Groups and Equinumeration between Generalized Oscillating Tableaux and Semistandard Tableaux

  • Soichi Okada
DOI: https://doi.org/10.37236/6214
Keywords: Standard tableuax, Oscillating tableaux, Semistandard tableaux, Pieri rules

Abstract

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.

Published
2016-12-23
How to Cite
Okada, S. (2016). Pieri Rules for Classical Groups and Equinumeration between Generalized Oscillating Tableaux and Semistandard Tableaux. The Electronic Journal of Combinatorics, 23(4), P4.43. https://doi.org/10.37236/6214
Issue
Volume 23, Issue 4 (2016)
Article Number
P4.43