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- W188768149 abstract "Let ρ: G → GL(V) be a representation of a reductive algebraic group G defined over ℂ. A simple example for such a situation is the natural action of SL 2(ℂ) by coordinate substitution on the vector space R n := ℂ[x,y] n of binary forms of degree n. The G-invariant polynomial functions on V are an important tool to study the orbit structure of the group in the representation space. It was one of the highlights in invariant theory before Hilbert when Gordan proved in 1868 that the ring of invariants is finitely generated in the example considered above. But even for this “simple-looking” example, a complete description of the invariants and the orbits exists only for the cases n ≤ 6 and n = 8." @default.
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- W188768149 date "1996-01-01" @default.
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- W188768149 title "An effective method to classify nilpotent orbits" @default.
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- W188768149 doi "https://doi.org/10.1007/978-3-0348-9104-2_12" @default.
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