Partitions of single exterior type
Representation Theory
2013-08-02 v1 Commutative Algebra
Abstract
We characterize the irreducible representations of the general linear group GL(V) that have multiplicity 1 in the direct sum of all Schur modules of a given exterior power of V. These have come up in connection with the relations of the lower order minors of a generic matrix. We show that the minimal relations conjectured by Bruns, Conca and Varbaro are exactly those coming from partitions of single exterior type.
Keywords
Cite
@article{arxiv.1308.0220,
title = {Partitions of single exterior type},
author = {Winfried Bruns and Matteo Varbaro},
journal= {arXiv preprint arXiv:1308.0220},
year = {2013}
}