Spinor group and its restrictions
1985; American Institute of Physics; Volume: 26; Issue: 6 Linguagem: Inglês
10.1063/1.526513
ISSN1527-2427
Autores Tópico(s)Finite Group Theory Research
ResumoA realization of the spinor algebra of the rotation group SO(N), N=2n or 2n+1, in the covering algebra of U(2n) is exploited to obtain explicit representation matrices for the SO(N) generators in the basis adapted to the subgroup chain SO(N)⊃U(n)⊇U(n−1)⊃⋅⋅⋅⊃U(1). As a special case the computation of matrices of U(n) representations characterized by a k-column Young tableau is reduced to the evaluation of at most k-box totally symmetric representations of U(2n).
Referência(s)