Effective Constructions in Plethysms and Weintraub's Conjecture

Laurent Manivel, Mateusz Michalek*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We give a short proof of Weintraub's conjecture (Weintraub J Algebra 129:103-114, 1990), first proved in Burgisser et al. (J Algebra 328:322-329, 2011), by constructing explicit highest weight vectors in the plethysms S (p) ( a aEuro parts per thousand(2q) W).

Original languageEnglish
Pages (from-to)433-443
Number of pages11
JournalALGEBRAS AND REPRESENTATION THEORY
Volume17
Issue number2
DOIs
Publication statusPublished - Apr 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Plethysm
  • Highest weight vector
  • Weintraub's conjecture
  • Schur functor
  • Asymptotic multiplicities

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