Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$

Tom 131 / 2013

Mahdi Hormozi, Kijti Rodtes Colloquium Mathematicum 131 (2013), 59-67 MSC: Primary 20C30; Secondary 15A69. DOI: 10.4064/cm131-1-6


We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_{8n}$. In particular, a necessary and sufficient condition for the existence of such a basis associated with $SD_{8n}$ and degree two characters is given.


  • Mahdi HormoziDepartment of Mathematical Sciences
    Division of Mathematics
    Chalmers University of Technology
    and University of Gothenburg
    Gothenburg 41296, Sweden
  • Kijti RodtesDepartment of Mathematics
    Faculty of Science
    Naresuan University
    Phitsanulok 65000, Thailand

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