Dominance orders, Capelli operators, and straightening of bideterminants
type: Item
instance of: scholarly article
title: Dominance orders, Capelli operators, and straightening of bideterminants
zbMATH Open document ID: 0551.05011
DOI: 10.1016/S0195-6698(84)80004-9
author: Michael Clausen
published in: European Journal of Combinatorics
publication date: 1984-01-01T00:00:00Z
review text: Every bideterminant \((U/V)\) is a linear combination of bideterminants of standard bitableaux, \((U,V)=\sum_{(s,t)}\) standard \(a_{UV,ST}(S/T)\). It is proved that \(a_{UV,ST}\neq 0\) implies \(^ sU\trianglelefteq S\) and \(^ sV\trianglelefteq T\), and \((U/V)\neq 0\) implies \(a_{UV^ s,U^ sV}=\pm 1\).
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 3877189
zbMATH Keywords: bideterminants
zbMATH Keywords: standard bitableaux
zbMATH Keywords: straightening coefficients
reviewed by: B. M. Agrawal
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3877189