An elementary proof of the first fundamental theorem of vector invariant theory
type: Item
instance of: scholarly article
title: An elementary proof of the first fundamental theorem of vector invariant theory
zbMATH Open document ID: 0613.15027
DOI: 10.1016/0021-8693(86)90122-5
author: Marilena Barnabei
author: Andrea Brini
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: The authors give a simple, combinatorial, characteristic-free proof of the first fundamental theorem of invariant theory. In the literature, one can find combinatorial proofs of the first fundamental theorem, due to Doubilet, Rota, Stein, De Concini, Procesi, etc. The difference of this proof from the earlier proofs lies in the fact that whereas the earlier proofs make use of Young bitableaux, this proof involves only single tableaux.
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 05A99
zbMATH DE Number: 3991712
zbMATH Keywords: Young tableaux
zbMATH Keywords: monomial
zbMATH Keywords: fundamental theorem
zbMATH Keywords: invariant theory
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90122-5
OpenAlex ID: W2048470225
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description: scientific article; zbMATH DE number 3991712