On the multilinearity partition of an irreducible character

DOI10.1080/03081088708817757zbMath0615.15013OpenAlexW2016667355MaRDI QIDQ4723893

J. A. Dias da Silva, Amélia Fonseca

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817757

zbMATH Keywords

irreducible charactersymmetry class of tensorsmultilinearity partitionMarcus-Chollet indexk-dimensionk-index

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69) Exterior algebra, Grassmann algebras (15A75)

Related Items (14)

The \(r\)-depth of a matroid ⋮ Vector colorability ⋮ Nonzero star products^* ⋮ The covering number of the elements of a matroid and generalized matrix functions ⋮ Multilinearity partitions of characters of embedded groups^* ⋮ New conditions for equality of decomposable symmetrized tensors ⋮ On the multilinearity partition of an irreducible character II ⋮ Symmetry classes of tensors:dual indices ⋮ A note on singular matrices satisfying certain polynomial identities ⋮ Small perturbations and pairs of matrices that have the same immanent ⋮ Variation of induced linear operators ⋮ 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

• Unnamed Item
• An extension of Schensted's theorem
• Some partitions associated with a partially ordered set
• Nonzero decomposable symmetrized tensors
• Strong versions of Sperner's theorem
• The representation theory of the symmetric groups
• Tensors and Graphs
• On vanishing decomposable symmetrized tensors^†

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