Tableau Correspondences and Representation Theory
Representation Theory
2020-06-18 v2 Combinatorics
Abstract
We deduce decompositions of natural representations of general linear groups and symmetric groups from combinatorial bijections involving tableaux. These include some of Howe's dualities, Gelfand models, the Schur-Weyl decomposition of tensor space, and multiplicity-free decompositions indexed by threshold partitions.
Cite
@article{arxiv.1808.08679,
title = {Tableau Correspondences and Representation Theory},
author = {Digjoy Paul and Amritanshu Prasad and Arghya Sadhukhan},
journal= {arXiv preprint arXiv:1808.08679},
year = {2020}
}