Journal of Lie Theory

no. 1
On Invariants of a Set of Elements of a Semisimple Lie Algebra
Journal of Lie Theory, Volume 20 (2010) no. 1, pp. 17-30
\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 $\C[\g^n]^G$.
DOI: 10.5802/jolt.584
Classification: 17B20, 14R20, 14L30
Keywords: Semisimple Lie algebras, conjugacy of embeddings, invariants of sets of elements in Lie algebras 
@article{JOLT_2010_20_1_a2,
     author = {I. Losev},
     title = {On {Invariants} of a {Set} of {Elements} of a {Semisimple} {Lie} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {17--30},
     year = {2010},
     volume = {20},
     number = {1},
     doi = {10.5802/jolt.584},
     zbl = {1239.17003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.584/}
}
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I. Losev. On Invariants of a Set of Elements of a Semisimple Lie Algebra. Journal of Lie Theory, Volume 20 (2010) no. 1, pp. 17-30. doi: 10.5802/jolt.584

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