A combinatorial approach to the orthogonality on critical orbital sets

DOI10.1016/j.laa.2005.10.030zbMath1092.05072OpenAlexW2082528467MaRDI QIDQ2369046

Maria Manuel Torres, J. A. Dias da Silva

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.030

zbMATH Keywords

decomposable tensorsinduced orthogonal basesedge colorings for bipartite multigraphs

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Vector and tensor algebra, theory of invariants (15A72) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (2)

The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics ⋮ Tensors, matchings and codes

Cites Work

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• Nonzero decomposable symmetrized tensors
• On the relations of various conjectures on Latin squares and straightening coefficients
• A note on the orthogonal basis of a certain full symmetry class of tensors.
• On the orthogonal dimension of orbital sets
• Construction of orthonormal bases in higher symmetry classes of tensors
• A high symmetry class of tensors with an orthogonal basis of decomposable symmetrized tensors
• Orthogonality of cosets relative to irreducible characters of finite groups
• Orthogonal bases of symmetrized tensor spaces
• On the orthogonal basis of the symmetry classes of tensors associated with certain characters
• Symmetry classes of tensors associated with certain groups

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