2026-06-27T10:55:55Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/507052024-07-16T15:13:48Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Campoamor Stursberg, Otto-Rudwig
2023-06-20T10:35:45Z
2023-06-20T10:35:45Z
2004
0375-9601
10.1016/j.physleta.2004.04.079
https://hdl.handle.net/20.500.14352/50705
https//doi.org/10.1016/j.physleta.2004.04.079
http://www.sciencedirect.com/science/article/pii/S0375960104006371
The Beltrametti–Blasi formula that gives the number N(g) of functional independent invariants for the coadjoint representation of a finite dimensional Lie algebra g admits a natural reformulation by means of the Maurer–Cartan equations associated to the algebra. This functional approach toN(g) turns out to be more convenient than the traditional matrix methods,and allows to obtain bounds of N(g) using only exterior products of the Maurer–Cartan equations of g, as well as to estimate the number of missing label operators. Applications to the problem of missing label operators, to the number of invariants of various inhomogeneous Lie algebras and contractions of Lie algebras are given.
eng
An alternative interpretation of the Beltrametti–Blasi formula by means of differential forms
journal article
URL
https://docta.ucm.es/bitstreams/3d3f2c8e-566e-479a-a254-debd9ffd2305/download
File
MD5
42270e664b78fb996973135149cc8507
241790
application/pdf
Campoamor-an_alternative.pdf