Geodesic
A Classification of Reductive Linear Groups with Spherical Orbits
Journal of Lie theory, Tome 12 (2002) no. 1, pp. 289-299
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We classify finite dimensional G-modules V of an algebraic reductive group G such that any G-orbit in V is spherical. It is shown that any module with this property can be realized as a spherical module after an extension of the group by a central torus.
Classification : 20G05, 17B10, 14M17, 14R20
Mots-clés : Reductive groups, spherical modules, algebras of invariants 
@article{JLT_2002_12_1_JLT_2002_12_1_a14,
     author = {I. Arzhantsev},
     title = {A {Classification} of {Reductive} {Linear} {Groups} with {Spherical} {Orbits}},
     journal = {Journal of Lie theory},
     pages = {289--299},
     year = {2002},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a14/}
}
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I. Arzhantsev. A Classification of Reductive Linear Groups with Spherical Orbits. Journal of Lie theory, Tome 12 (2002) no. 1, pp. 289-299. http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a14/