Tableau Correspondences and Representation Theory
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2018
- DOI:
- 10.48550/arXiv.1808.08679
- arXiv:
- arXiv:1808.08679
- Bibcode:
- 2018arXiv180808679P
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Combinatorics;
- 05E10;
- 20C30;
- 22E46
- E-Print:
- Contributions in Algebra and Algebraic Geometry, Contemporary Mathematics, vol. 738, pages 109-124, 2019