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Symmetry classes of tensors associated with the semi-dihedral groups SD8n

2012/02/29 by Mahdi Hormozi, Kijti Rodtes
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algebra over a field #Basis (linear algebra) #Chromatin Remodeling and Cancer #Coding theory and cryptography #Combinatorics #Dihedral angle #Dihedral group #Finite Group Theory Research #Geometry #Group (periodic table) #Mathematics #Physics #Pure mathematics #Quantum mechanics #Symmetry (geometry) #Symmetry group #math.GR

paper · pdf · doi:10.4064/cm131-1-6

published as Colloq. Math. 131 (2013), 59-67 · 15 pages

arxiv created 2012/12/14 · openalex publication_date 2013/01/01 · arxiv updated 2014/06/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups SD8n. In particular, a necessary and sufficient condition for the existence of such a basis as

Citations