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- W2030766582 abstract "Abstract Suppose we are given a finite-dimensional vector space V equipped with an F -rational action of a linearly algebraic group G , with F a characteristic zero field. We conjecture the following: to each vector v ∈ V(F) there corresponds a canonical G(F) -orbit of semisimple vectors of V . In the case of the adjoint action, this orbit is the G(F) -orbit of the semisimple part of v , so this conjecture can be considered a generalization of the Jordan decomposition. We prove some cases of the conjecture." @default.
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- W2030766582 date "2003-06-01" @default.
- W2030766582 modified "2023-09-28" @default.
- W2030766582 title "Rationality and Orbit Closures" @default.
- W2030766582 doi "https://doi.org/10.4153/cmb-2003-021-6" @default.
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