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  • 1
    Electronic Resource
    Electronic Resource
    Algebraic expressions for irreducible bases of icosahedral group (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 387-410 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The recently discovered point-group symmetrized boson representation (SBR) is constructed for the icosahedral group Ih. With the aid of the SBR, succinct algebraic expressions for the irreducible bases and irreducible matrices have been found. Irreducible bases for non-regular representations can be found easily from those of the regular representation without projections. Explicit expressions of the irreducible bases are given for the molecule B12H12 for several important cases. It is shown that, far from being "chaotic" in structure, the 120 irreducible matrices of Ih have a high degree of symmetry in that the 14 400 entries can be reproduced from a few dozen entries according to three rules. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531855
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