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• W2052525976 abstract "We introduce the following notion: a finite dimensional represen- tation V of a complex reductive algebraic group G is called spherical of rank one if the generic stabilizer M is reductive, the pair (G, M) is spherical and dim VM = 1 . Let U be another finite dimensional representation of G ; we denote by S'(U) (S'(U)G) the ring of polynomial functions on U (the ring of G-invariant polynomial functions on U). We characterize the image of S'{U®V)G under the restriction map into S'(U®VM) as the W = NG{M)/M invariants in the Rees ring associated to an ascending filtration of S'{U)M. Furthermore, under some additional hypothesis, we give an isomorphism be- tween the graded ring associated to that filtration and S'(U)P , where P is the stabilizer of an unstable point whose (7-orbit has maximal dimension." @default.
• W2052525976 created "2016-06-24" @default.
• W2052525976 creator A5032693865 @default.
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• W2052525976 date "1992-02-01" @default.
• W2052525976 modified "2023-09-25" @default.
• W2052525976 title "A restriction theorem for modules having a spherical submodule" @default.
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• W2052525976 doi "https://doi.org/10.1090/s0002-9947-1992-1034657-1" @default.
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