Remarks on Symmetry Classes of Tensors

DOI10.1142/S1005386706000575zbMath1119.15028MaRDI QIDQ3421807

Yun Fan, Ping Zhu

Publication date: 8 February 2007

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

free modulesJacobson radicalranktensor productprincipal ideal domainscomplete discrete valuation ringmodular symmetry class of tensorsgeneralized symmetric multilinear functionrank of symmetric tensor operatorssymmetric submodulessymmetry operator of tensors

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Projective and free modules and ideals in commutative rings (13C10) Valuation rings (13F30) Multilinear algebra, tensor calculus (15A69)

Cites Work

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• On the orthogonal bases of symmetry classes
• On the orthogonal basis of symmetry classes of tensors
• On the orthogonal basis of the symmetry classes of tensors associated with certain characters

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