Nonzero Symmetry Classes of Smallest Dimension
| Autor: | M. H. Lim, G. H. Chan |
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| Rok vydání: | 1980 |
| Předmět: | |
| Zdroj: | Canadian Journal of Mathematics. 32:957-968 |
| ISSN: | 1496-4279 0008-414X |
| DOI: | 10.4153/cjm-1980-073-0 |
| Popis: | Let U be a k-dimensional vector space over the complex numbers. Let ⊗m U denote the mth tensor power of U where m ≧ 2. For each permutation σ in the symmetric group Sm, there exists a linear mapping P(σ) on ⊗mU such thatfor all x1, …, xm in U.Let G be a subgroup of Sm and λ an irreducible (complex) character on G. The symmetrizeris a projection of ⊗ mU. Its range is denoted by Uλm(G) or simply Uλ(G) and is called the symmetry class of tensors corresponding to G and λ. |
| Databáze: | OpenAIRE |
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