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arXiv · 1308.0220

Partitions of single exterior type

Winfried Bruns·Matteo Varbaro
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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.

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Winfried Bruns, Matteo Varbaro. 2013-08-01. Partitions of single exterior type. https://arxiv.org/abs/1308.0220

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