Conditions for a symmetrized decomposable tensor to be zero

DOI10.1016/0024-3795(88)90180-2zbMath0652.15023OpenAlexW1979668134MaRDI QIDQ1106919

Carlos Gamas

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90180-2

zbMATH Keywords

Young diagramirreducible characterconjugate partitiondecomposable symmetrized tensor

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69)

Related Items (19)

Decomposable critical tensors ⋮ Symmetrized Tensors and Spherical Functions ⋮ Nonzero star products^* ⋮ Matrix orbit closures ⋮ The covering number of the elements of a matroid and generalized matrix functions ⋮ Immanants and decomposable tensors that symmetrize to zero ⋮ Multilinear algebra: Recent applications ⋮ Symmetry classes of tensors:dual indices ⋮ A note on the orthogonal basis of a certain full symmetry class of tensors. ⋮ Descending chains of immanants ⋮ A note on singular matrices satisfying certain polynomial identities ⋮ A short proof of Gamas's theorem ⋮ Equality of immanantal decomposable tensors. II. ⋮ Decomposable \(\lambda \)-critical tensors ⋮ Equality of immanantal decomposable tensors ⋮ Conditions for a symmetrized tensor associated with a spherical function to be zero ⋮ The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics ⋮ Orthogonal decomposable symmetrized tensors ⋮ Indices and nonzero decomposable elements of a symmetry class of tensors

Cites Work

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• Nonzero decomposable symmetrized tensors
• The representation theory of the symmetric groups
• Recent advances in symmetry classes of tensors^†
• On the Schur inequality
• On vanishing decomposable symmetrized tensors^†

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