The adjoint representation of so(5) on its universal enveloping algebra U(so(5)) is explicitly decomposed into irreducible components. It is shown that the commutant of raising operators of so(5) is generated by seven elements. The explicit form of these elements is given.
The adjoint representation of so(5) on its universal enveloping algebra U(so(5)) is explicitly decomposed into irreducible components. It is shown that the commutant of raising operators of so(5) is generated by seven elements. The explicit form of these elements is given. (en)