Effective Constructions in Plethysms and Weintraub's Conjecture

Laurent Manivel; Mateusz Michalek

doi:10.1007/s10468-012-9402-y

Effective Constructions in Plethysms and Weintraub's Conjecture

Laurent Manivel, Mateusz Michalek^*

^*Corresponding author for this work

Not published at Aalto University

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	433-443
Number of pages	11
Journal	Algebras and Representation Theory
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s10468-012-9402-y
Publication status	Published - Apr 2014
MoE publication type	A1 Journal article-refereed

Keywords

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

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10.1007/s10468-012-9402-y

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title = "Effective Constructions in Plethysms and Weintraub's Conjecture",

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).",

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author = "Laurent Manivel and Mateusz Michalek",

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AU - Manivel, Laurent

AU - Michalek, Mateusz

PY - 2014/4

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N2 - 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).

AB - 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).

KW - Plethysm

KW - Highest weight vector

KW - Weintraub's conjecture

KW - Schur functor

KW - Asymptotic multiplicities

U2 - 10.1007/s10468-012-9402-y

DO - 10.1007/s10468-012-9402-y

M3 - Article

SN - 1386-923X

VL - 17

SP - 433

EP - 443

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 2

ER -

Effective Constructions in Plethysms and Weintraub's Conjecture

Abstract

Keywords

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