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- W204080750 abstract "Let G be a reductive group over C. Let X → S be a G-morphism of Gvarieties where G acts trivially on S. Then for p ∈ S the fiber X(p) over p is a G-variety, so we can view X as an S-parametrized family (X(p))p∈S of G-varieties. We ask here, under various linearity assumptions on the individual X(p)’s, what kind of global linearity properties X must have over S. For example, assuming that X is flat over S and that each X(p) is isomorphic to a G-representation space, one would like to conclude that X is isomorphic to a G-vector bundle over S. The results announced here imply that this is “stably” true, i.e. X × V is a G-vector bundle over S for some G-representation space V." @default.
- W204080750 created "2016-06-24" @default.
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- W204080750 date "1989-01-01" @default.
- W204080750 modified "2023-10-14" @default.
- W204080750 title "Linearizing Flat Families of Reductive Group Representations" @default.
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- W204080750 doi "https://doi.org/10.1007/978-1-4612-3702-0_2" @default.
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