Concerning the Lie algebras generated by certain linear combinations of SO(3) tensor operators two theorems are given which disprove some widely accepted results in the standard literature.

1.
J. P.
Elliott
,
Proc. R. Soc. London Ser. A
245
,
128
(
1958
).
2.
G.
Racah
,
Phys. Rev.
62
,
438
(
1942
).
3.
B. R. Judd, Operator Techniques in Atomic Spectroscopy (McGraw‐Hill, New York, 1963).
4.
R. Gilmore, Lie groups. Lie algebras and some of their Applications (Wiley, New York, 1974).
This content is only available via PDF.
You do not currently have access to this content.