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Journal of Lie Theory 12 (2002), No. 1, 289--299
Copyright Heldermann Verlag 2002

A Classification of Reductive Linear Groups with Spherical Orbits

Ivan Arzhantsev
Chair of Algebra, Moscow State University, Vorobievy Gory, Moscow 119899, Russia

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.

Keywords: Reductive groups, spherical modules, algebras of invariants.

MSC: 20G05, 17B10; 14M17, 14R20

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