On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group

DOI10.1080/03081080008818639zbMath0964.20006OpenAlexW1991392699MaRDI QIDQ4487066

M. R. Pournaki, Mohammad-Reza Darafsheh

Publication date: 5 July 2001

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

Full work available at URL: https://doi.org/10.1080/03081080008818639

zbMATH Keywords

decomposable symmetrized tensorsorthogonal basessymmetry classes of tensorsgeneralized quaternion groupsdicylic groups

Mathematics Subject Classification ID

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

Related Items (10)

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 ⋮ A note on the orthogonal basis of a certain full symmetry class of tensors. ⋮ Generalized symmetry classes of tensors ⋮ On the orthogonal basis of symmetry classes of tensors ⋮ On the orthogonal basis of the symmetry classes of tensors associated with certain characters ⋮ Symmetry classes of tensors and semi-direct product of finite abelian groups ⋮ Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters ⋮ SYMMETRY CLASSES OF POLYNOMIALS ASSOCIATED WITH THE DICYCLIC GROUP

Cites Work

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• Inequalities for generalized matrix functions based on arbitrary characters
• Construction of orthonormal bases in higher symmetry classes of tensors
• A high symmetry class of tensors with an orthogonal basis of decomposable symmetrized tensors
• The subspaces and orthonormal bases of symmetry classes of tensors
• Symmetry classes of tensors associated with certain groups

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