Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
29 (1988), S. 1736-1745
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In this paper the ring of polynomial invariants of the icosahedral group I is studied. It begins by reviewing the surprising connections that this group and its double cover II have with various areas of mathematics and physics of current interest. Information concerning the representation theory of these groups is then given. After a brief discussion of the methods involved, the integrity basis of the ring of polynomial invariants for each irreducible representation of I is given, together with syzygies. These are expressed in terms of the invariants of the tetrahedral subgroup T of I. Finally other methods of finding these invariants are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527871
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