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Keywords:
irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors
irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors
Summary:
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.
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