Journal of Lie Theory

no. 1
A Classification of Reductive Linear Groups with Spherical Orbits
Journal of Lie Theory, Volume 12 (2002) no. 1, pp. 289-299
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.
DOI: 10.5802/jolt.263
Classification: 20G05, 17B10, 14M17, 14R20
Keywords: Reductive groups, spherical modules, algebras of invariants 
@article{JOLT_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},
     doi = {10.5802/jolt.263},
     zbl = {0999.20034},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.263/}
}
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I. Arzhantsev. A Classification of Reductive Linear Groups with Spherical Orbits. Journal of Lie Theory, Volume 12 (2002) no. 1, pp. 289-299. doi: 10.5802/jolt.263

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