RT Journal Article
T1 Internal labelling operators and contractions of Lie algebras
A1 Campoamor Stursberg, Otto-Rudwig
AB We analyze under which conditions the missing label problem associated to a reduction chain s′ ⊂ s of (simple) Lie algebras can be completely solved by means of an In¨on¨u-Wigner contraction g naturally related to the embedding. This provides a new interpretation of the missing label operators in terms of the Casimir operators of the contracted algebra, and shows that the available labeling operators are not completely equivalent. Further, the procedure is used to obtain upper bounds for the number of invariants of affine Lie algebras arising as contractions of semisimple algebras.
PB IOP Publishing Ltd
SN 1751-8113
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50621
UL https://hdl.handle.net/20.500.14352/50621
LA eng
NO Ministerio de Educación y Ciencia
DS Docta Complutense
RD 19 mar 2026