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The representation theory of the icosahedral group

N B Backhouse and P Gard

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A study is made of the representation theory of the icosahedral group I by exploiting the natural embeddings of the latter in the rotation groups in three and four dimensions. In particular it is shown that each irreducible representation of I is the restriction of some irreducible representation of SO(4), and that this enables the irreducible representations of I to be symmetrized.


PACS

02.20.Qs General properties, structure, and representation of Lie groups

MSC

20C30 Representations of finite symmetric groups

22Exx Lie groups (For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90)

Subjects

Mathematical physics

Dates

Issue 17 (21 November 1974)



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