Aufsatz(elektronisch)#12. Januar 2007
Structure of the Enveloping Algebras
In: Acta polytechnica: journal of advanced engineering, Band 47, Heft 2-3
ISSN: 1805-2363
The adjoint representations of several small dimensional Lie algebras on their universal enveloping algebras are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements. The explicit form of these elements is given and the general method for obtaining these elements is described.