## Generalized symmetry classes of tensors.(English)Zbl 07285970

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.

### MSC:

 20C30 Representations of finite symmetric groups 15A69 Multilinear algebra, tensor calculus
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### References:

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