Symmetry classes of tensors and semi-direct product of finite abelian groups

DOI10.1080/03081087.2017.1389850zbMath1402.20017arXiv1612.02910OpenAlexW2963802310WikidataQ114100613 ScholiaQ114100613MaRDI QIDQ4685510

Kunlathida Chimla, Kijti Rodtes

Publication date: 9 October 2018

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

Full work available at URL: https://arxiv.org/abs/1612.02910

zbMATH Keywords

symmetry classes of tensorssemi-direct productwreath product\(\mathrm{o}^\ast\)-basis

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite abelian groups (20K01) Extensions, wreath products, and other compositions of groups (20E22) Multilinear algebra, tensor calculus (15A69) Direct sums, direct products, etc. for abelian groups (20K25)

Cites Work

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• Orthogonality of cosets relative to irreducible characters of finite groups
• On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group
• Induced operators on symmetry classes of tensors
• Symmetry classes of tensors associated with certain groups

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