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  • 1
    Electronic Resource
    Electronic Resource
    The matrix representations of g2. II. Representations in an su(3) basis (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 767-776 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Irreducible representations of the real compact Lie algebra g2 are given in g2&supuline; su(3) bases. A missing label is accounted for by the explicit construction of a g2&supuline; su(3) basis of vector holomorphic functions. Analytical results are given for two multiplicity-free classes of irreps. It is also shown how vector coherent state (VCS) theory accommodates the decomposition of the nilpotent raising operator subalgebra of an arbitrary Lie algebra into a finite but arbitrary number of irreducible tensorial sets under transformations generated by a stability algebra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527970
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