Polynomial icosahedral invariants
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Publication:3803317
DOI10.1063/1.527871zbMath0656.20022OpenAlexW2027721680MaRDI QIDQ3803317
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527871
syzygiesirreducible representationsquasicrystalssymmetric algebraicosahedral groupintegrity basisG-invariants
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Applications of Lie groups to the sciences; explicit representations (22E70) Other geometric groups, including crystallographic groups (20H15) Applications of group representations to physics and other areas of science (20C35)
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Cites Work
- Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements
- Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
- Polynomial irreducible tensors for point groups
- Polynomial tensors for double point groups
- The alternating group: branching rules, products and plethysms for ordinary and spin representations
- Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
- Induced Representations and Alternating Groups
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