RT Journal Article
T1 Determinantal formulae for the Casimir operators of inhomogeneous Lie algebras
A1 Campoamor-Stursberg, Rutwig
AB Contractions of Lie algebras are combined with the classical matrix method of Gel’fand to obtain matrix formulae for the Casimir operators of inhomogeneous Lie algebras. The method is presented for the inhomogeneous pseudounitary Lie algebras Iu(p, q). This procedure is extended to contractions of Iu(p, q) isomorphic to an extension by a derivation of the inhomogeneous special pseudo-unitary Lie algebras Isu(p − 1, q), providing an additional analytical method to obtain their invariants. Further, matrix formulae for the invariants of other inhomogeneous Lie algebras are presented.
PB IOP Publishing
SN 0305-4470
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50692
UL https://hdl.handle.net/20.500.14352/50692
LA eng
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NO UCM
DS Docta Complutense
RD 28 abr 2024