A note on the multiplicity free reduction of certain orthogonal and unitary groups
β Scribed by Tom H. Koomwinder
- Publisher
- Elsevier Science
- Year
- 1982
- Weight
- 152 KB
- Volume
- 85
- Category
- Article
- ISSN
- 1385-7258
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π SIMILAR VOLUMES
It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1 n-2 ] of S n does not have an orthogonal basis consisting of decomposable symmetrized tensors.
The decomposition of the direct product group, S m U , for a system of n N nidentical particles having access to N one-particle states is considered from the point of view of its reduction to invariant subspaces. A double-factor matrix approach is developed in terms of the frequency of occurrence of
Let S be a finite subset of a group G, |S| = n, and let g β S β’ S. Then g induces a partial function Ξ» g : S β S by Ξ» g (s) = t if and only if st = g and Ξ» g (s) is not defined if g β sS. For every g β S β’ S, Ξ» g is a one-to-one mapping. In this note we describe the groups which have a finite genera