A note on the orthogonal basis of a certain full symmetry class of tensors.

DOI10.1016/S0024-3795(03)00426-9zbMath1034.15009MaRDI QIDQ1405050

Astrid Reifegerste, M. R. Pournaki, Christine Bessenrodt

Publication date: 25 August 2003

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

zbMATH Keywords

decomposable symmetrized tensorsorthogonal basissymmetry class of tensorsirreducible characters of the symmetric group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Multilinear algebra, tensor calculus (15A69)

Related Items (8)

A combinatorial approach to the orthogonality on critical orbital sets ⋮ A note on symmetry classes of tensors and Specht modules ⋮ Geometry of standard symmetrized tensors ⋮ On the orthogonal dimension of orbital sets ⋮ Symmetry classes of tensors associated with principal indecomposable characters and Osima idempotents ⋮ Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters ⋮ Tensors, matchings and codes ⋮ Orthogonal bases of Brauer symmetry classes of tensors for the dihedral group

Cites Work

• Conditions for a symmetrized decomposable tensor to be zero
• Nonzero decomposable symmetrized tensors
• Inequalities for generalized matrix functions based on arbitrary characters
• Computation of the dimensions of symmetry classes of tensors associated with the finite two dimensional projective special linear group
• The subspaces and orthonormal bases of symmetry classes of tensors
• On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group
• 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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