The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics
DOI10.1016/j.laa.2011.03.026zbMath1241.15015OpenAlexW2048892223MaRDI QIDQ765167
Henrique F. da Cruz, Rosário Fernandes
Publication date: 19 March 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.026
symmetry class of tensorsmultilinear algebrageneralized matrix functionsdecomposable tensorsJosé Dias da SilvaPortuguese Multilinear Algebra community
History of mathematics in the 20th century (01A60) Multilinear algebra, tensor calculus (15A69) Matrices over function rings in one or more variables (15A54) History of linear algebra (15-03)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equality of decomposable symmetrized tensors and *-matrix groups
- Linear preservers of immanants on symmetric matrices
- Decomposable critical tensors
- Immanant preserving and immanant converting maps
- Decomposable \(\lambda \)-critical tensors
- Conditions for a symmetrized decomposable tensor to be zero
- Nonzero decomposable symmetrized tensors
- Linear transformations on symmetric matrices that preserve the permanent
- Linear transformations that preserve immanants
- On the relations of various conjectures on Latin squares and straightening coefficients
- Colorings and equality of tensors
- Determinant preserving maps on matrix algebras
- Equality of immanantal decomposable tensors. II.
- Equality of immanantal decomposable tensors
- On the orthogonal dimension of orbital sets
- Multiplicative preservers and induced operators
- Flags and equality of tensors
- New conditions for equality of decomposable symmetrized tensors
- On the equality of families of decomposable symmetrized tensors
- A combinatorial approach to the orthogonality on critical orbital sets
- Multiplicative maps of matrix semi-groups
- On linear preservers of immanants
- Subspaces where an immanant is convertible into its conjugate∗
- Immanants and decomposable tensors that symmetrize to zero
- Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
- The Permanent Function
- Nonzero star products*
- On the multilinearity partition of an irreducible character II
- On the equality of decomposable symmetrized tensors
- Note On the equality of star products
- Construction of orthonormal bases in higher symmetry classes of tensors
- Linear transformations on matrices: rank 1 preservers and determinant preservers
- Decomposable symmetrized tensors
- Decomposable symmetrized tensors and an extended LR decomposition theorem
- On the conversion of an immanant into another
- Linear preserves of the permanent on symmetric matrices
- On the Relation Between the Determinant and the Permanent on Symmetric Matrices
- On the Conversion of an Immanant into Another on Symmetric Matrices
- On the μ-colorings of a matroid
- On the multilinearity partition of an irreducible character
- Symmetry classes of tensors:dual indices
- Linear Transformations that Preserve the Permanent
- An Identity Between Permanents and Determinants
- Conversion of the Permanent into the Determinant
- Induced operators on symmetry classes of tensors
This page was built for publication: The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics