Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux
Combinatorics
2016-06-09 v1 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1606.02375,
title = {Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux},
author = {Soichi Okada},
journal= {arXiv preprint arXiv:1606.02375},
year = {2016}
}