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- W4298837629 abstract "Consider the representations of an algebraic group G. In general, polynomial invariant functions may fail to separate orbits. The invariant subring may not be finitely generated, or the number and complexity of the generators may grow rapidly with the size of the representation. We instead study constructible functions defined by straight line programs in the polynomial ring, with a new quasi-inverse that computes the inverse of a function where defined. We write straight line programs defining constructible functions that separate the orbits of G. The number of these programs and their length have polynomial bounds in the parameters of the representation." @default.
- W4298837629 created "2022-10-02" @default.
- W4298837629 creator A5054385140 @default.
- W4298837629 date "2010-05-17" @default.
- W4298837629 modified "2023-10-16" @default.
- W4298837629 title "Polynomial Bounds for Invariant Functions Separating Orbits" @default.
- W4298837629 doi "https://doi.org/10.48550/arxiv.1005.3082" @default.
- W4298837629 hasPublicationYear "2010" @default.
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