RT Journal Article
T1 An extension based determinantal method to compute Casimiroperators of Lie algebras
A1 Campoamor Stursberg, Otto-Rudwig
AB We present a method based on degree one extensions of Lie algebras by a derivation to compute the Casimir operator ofperfect Lie algebras having only one invariant for the coadjoint representation and an Abelian radical. In particular, the Casimir operator of the special affine Lie algebras sa(n,R) results from the determinant of the commutator matrix of an extension. Examples are given for the case of non-Abelian radicals, and the corresponding generalization of the method for this case is formulated.
PB Elsevier
SN 0375-9601
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/50713
UL https://hdl.handle.net/20.500.14352/50713
LA eng
NO Fundacion Ramón Areces
DS Docta Complutense
RD 6 abr 2025