Generalized Symmetry Classes of Tensors

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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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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Keywords

  • irreducible character
  • generalized Schur function
  • orthogonal basis
  • symmetry class of tensors

MSC 2020

  • 20C30
  • 15A69