Geodesic
On Invariants of a Set of Elements of a Semisimple Lie Algebra
Journal of Lie theory, Tome 20 (2010) no. 1, pp. 17-3.

Voir la notice de l'article provenant de la source Heldermann Verlag

\def\g{{\frak g}} \def\h{{\frak h}} \def\C{\mathbb{C}} Let $G$ be a complex reductive algebraic group, $\g$ its Lie algebra and $\h$ a reductive subalgebra of $\g$, $n$ a positive integer. Consider the diagonal actions $G:\g^n, N_G(\h):\h^n$. We study a connection between the algebra $\C[\h^n]^{N_G(\h)}$ and its subalgebra consisting of restrictions to $\h^n$ of elements of $\C[\g^n]^G$.
Classification : 17B20, 14R20, 14L30
Mots-clés : Semisimple Lie algebras, conjugacy of embeddings, invariants of sets of elements in Lie algebras 
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     title = {On {Invariants} of a {Set} of {Elements} of a {Semisimple} {Lie} {Algebra}},
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I. Losev . On Invariants of a Set of Elements of a Semisimple Lie Algebra. Journal of Lie theory, Tome 20 (2010) no. 1, pp. 17-3. http://geodesic.mathdoc.fr/item/JLT_2010_20_1_JLT_2010_20_1_a2/