Structure of the Enveloping Algebras

Acta Polytechnica

S. Pošta¹  O. Navrátil¹  Č. Burdík¹ 

关键词: adjoint representation;    enveloping algebra;    Lie algebra;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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. 

【 授权许可】

Unknown