On the irreducibility of Professor G. F. Smith's representations for isotropic functions
type: Item
instance of: scholarly article
title: On the irreducibility of Professor G. F. Smith's representations for isotropic functions
zbMATH Open document ID: 0614.73002
DOI: 10.1016/0020-7225(87)90097-8
author: S. Pennisi
author: M. Trovato
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: Irreducibility is proved of the basis for scalar-valued isotropic functions due to \textit{G. F. Smith} [ibid. 9, 899-916 (1971; Zbl 0233.15021)], once the redundant elements found by \textit{J. P. Boehler} are eliminated [Z. Angew. Math. Mech. 57, 323-327 (1977; Zbl 0362.15019)]. Similarly Smith's basis for vector-valued, second order skew-symmetric tensor-valued and second order symmetric tensor-valued isotropic functions are proved irreducible. An argument by \textit{J. J. Telega} [Arch. Math. 36, 147-162 (1984; Zbl 0571.73040)] leading to reducibility of the last of them is proved incorrect.
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 3995130
zbMATH Keywords: scalar-valued isotropic functions
zbMATH Keywords: vector-valued
zbMATH Keywords: second order skew- symmetric tensor-valued
zbMATH Keywords: second order symmetric tensor-valued isotropic functions
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90097-8
OpenAlex ID: W2062830342
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description: scientific article; zbMATH DE number 3995130