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Generalized symmetry classes of tensors

Gholamreza Rafatneshan; Yousef Zamani — 2020

Czechoslovak Mathematical Journal

Let $V$ be a unitary space. For an arbitrary subgroup $G$ of the full symmetric group $S_{m}$ 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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