Geodesic
Casimir Operators and Nilpotent Radicals
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 579-585

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DOI

It is shown that a Lie algebra having a nilpotent radical has a fundamental set of invariants consisting of Casimir operators. A different proof is given in the well known special case of an abelian radical. A result relating the number of invariants to the dimension of the Cartan subalgebra is also established.
DOI : 10.4153/CMB-2011-102-2
Mots-clés : 16W25, 17B45, 16S30, nilpotent radical, Casimir operators, algebraic Lie algebras, Cartan subalgebras, number of invariants 
Ndogmo, J. C. Casimir Operators and Nilpotent Radicals. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 579-585. doi: 10.4153/CMB-2011-102-2
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     title = {Casimir {Operators} and {Nilpotent} {Radicals}},
     journal = {Canadian mathematical bulletin},
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     year = {2012},
     volume = {55},
     number = {3},
     doi = {10.4153/CMB-2011-102-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-102-2/}
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