Geodesic
Two Observations on Irreducible Representations of Groups
Journal of Lie theory, Tome 12 (2002) no. 2, pp. 535-538 Cet article a éte moissonné depuis la source Heldermann Verlag

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For an irreducible representation of a connected affine algebraic group G in a vector space V of dimension at least 2, it is shown that the intersection of any orbit π(G)x (with x in V) and any hyperplane of V is non-empty. The question is raised to decide whether an analogous fact holds for irreducible continuous representations of connected compact groups, for example of SU(2).
Classification : 22E45
Mots-clés : Irreducible representations, orbits, algebraic groups, compact groups 
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     author = {J. Galindo and P. de la Harpe and T. Vust },
     title = {Two {Observations} on {Irreducible} {Representations} of {Groups}},
     journal = {Journal of Lie theory},
     pages = {535--538},
     year = {2002},
     volume = {12},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_2_JLT_2002_12_2_a14/}
}
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J. Galindo; P. de la Harpe; T. Vust . Two Observations on Irreducible Representations of Groups. Journal of Lie theory, Tome 12 (2002) no. 2, pp. 535-538. http://geodesic.mathdoc.fr/item/JLT_2002_12_2_JLT_2002_12_2_a14/