Geodesic
Generalized symmetry classes of tensors
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 921-933
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Let $V$ be a unitary space. For an arbitrary subgroup $G$ of the full symmetric group $S_{m}$ and an arbitrary irreducible unitary representation $\Lambda $ of $G$, we study the generalized symmetry class of tensors over $V$ associated with $G$ and $\Lambda $. Some important properties of this vector space are investigated.
Let $V$ be a unitary space. For an arbitrary subgroup $G$ of the full symmetric group $S_{m}$ and an arbitrary irreducible unitary representation $\Lambda $ of $G$, we study the generalized symmetry class of tensors over $V$ associated with $G$ and $\Lambda $. Some important properties of this vector space are investigated.
DOI : 10.21136/CMJ.2020.0044-19
Classification : 15A69, 20C30
Keywords: irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors 
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Rafatneshan, Gholamreza; Zamani, Yousef. Generalized symmetry classes of tensors. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 921-933. doi: 10.21136/CMJ.2020.0044-19

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