Group module structure of symmetrized tensor spaces. (English) Zbl 1526.20016
Author’s abstract: Using methods from multilinear algebra, orbital subspaces of \(n\)-fold tensor spaces have been realized as group modules in the literature. Such subspaces, however, are nearly isometric to group modules already known as coset spaces. By determining the group module structure of coset spaces, we offer an alternative derivation of the group module structure of orbital subspaces.
Reviewer: Enrico Jabara (Venezia)
MSC:
| 20C15 | Ordinary representations and characters |
| 20C30 | Representations of finite symmetric groups |
| 15A69 | Multilinear algebra, tensor calculus |
References:
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