It is shown how the theory of ray representations of a group may be recast in terms of ordinary representations of a new entity, a ray group. When these ray groups are simply subducible. a recently developed method of symmetry analysis based directly on the character tables may be applied. This lead
Simply subducible groups and ray groups. Explicit matrix representations and the group algebra
โ Scribed by A.C. Hurley
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 513 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
โฆ Synopsis
Reccivcd 14 March 1984 TWO methods arc developed for deriving the explicit matrix representations of a simply subducible group (or ray sroup) from character projection operators. The fist method involves repeated transformation of a single basis function, \vherez the second esploits an isomorphism between character projectors and the primitive idempotents of the group (or raysroup) alwbm. J
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