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Generalized Symmetry Classes of Tensors

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Abstract

Let V be a unitary space. For an arbitrary subgroup G of the full symmetric group Sm and an arbitrary irreducible unitary representation Λ of G, we study the generalized symmetry class of tensors over V associated with G and Λ. Some important properties of this vector space are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, P.O.Box 51335/1996, Sahand New Town, Tabriz, East Azerbaijan, Iran

    Gholamreza Rafatneshan & Yousef Zamani

Authors
  1. Gholamreza Rafatneshan
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  2. Yousef Zamani
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Correspondence to Yousef Zamani.

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Rafatneshan, G., Zamani, Y. Generalized Symmetry Classes of Tensors. Czech Math J 70, 921–933 (2020). https://doi.org/10.21136/CMJ.2020.0044-19

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  • DOI: https://doi.org/10.21136/CMJ.2020.0044-19

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