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[en] General properties of the SO(n) groups are examined, with emphasis on the usefulness of the Gel'fand-Zetlin basis for explicit calculations. The SO(n) representations containing a vector stabilized by subgroups of the type S[O(n - p) x O(p)], SU(k) x U(1) or SU(k) if n = 2 k, are characterized in view of selecting Higgs representations in SO(n) gauge models. Some useful properties of the SU(n) Gel'fand-Zetlin basis are given in the appendices. (orig.)
Journal
Nuclear Physics. B; ISSN 0550-3213; 
; v. 182(3); p. 477-504
; v. 182(3); p. 477-504