Orthogonal bases of Brauer symmetry classes of tensors for the dihedral group

DOI10.1080/03081087.2012.729583zbMath1279.15021OpenAlexW2018316113MaRDI QIDQ2851003

Randall R. Holmes, Avantha Kodithuwakku

Publication date: 1 October 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.729583

zbMATH Keywords

dihedral groupsymmetry classes of tensorsorthogonal basisBrauer character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) General theory for finite permutation groups (20B05)

Related Items (7)

SYMMETRY CLASSES OF TENSORS ASSOCIATED TO NONABELIAN GROUPS OF ORDER ⋮ A note on symmetry classes of tensors and Specht modules ⋮ Symmetry classes of tensors associated with certain groups ⋮ Generalized symmetry classes of tensors ⋮ Symmetry classes of tensors and semi-direct product of finite abelian groups ⋮ 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

Cites Work

• A note on the orthogonal basis of a certain full symmetry class of tensors.
• On the orthogonal dimension of orbital sets
• Inequalities for generalized matrix functions based on arbitrary characters
• 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 symmetry classes of tensors
• Symmetry classes of tensors associated with certain groups
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