Geodesic
On Invariants of a Set of Elements of a Semisimple Lie Algebra
Ivan Losev1
1Dept. of Mathematics, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139, U.S.A.
Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 17-30

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

Ivan Losev  1

1 Dept. of Mathematics, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139, U.S.A. 
Ivan Losev. On Invariants of a Set of Elements of a Semisimple Lie Algebra. Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 17-30. http://geodesic.mathdoc.fr/item/JOLT_2010_20_1_a2/
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     journal = {Journal of Lie Theory},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_1_a2/}
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