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The paper was motivated by a question of Vilonen, and the main
results have been used by Mirkovi′c and Vilonen to give a geometric interpretation of the dual group (as a Chevalley group over Z) of a ...
We develop the relative theory of reductive group schemes,
using dynamic techniques and algebraic spaces to streamline the original development in SGA3.
We classify affine varieties with an action of a connected,reductive algebraic group such that the group is isomorphic to an open orbit in the variety. This is accomplished by associating a set of one...
Centralizer of the elementary subgroup of an isotropic reductive group
Centralizer of the elementary subgroup isotropic reductive group
2011/1/17
Let R be a commutative ring with 1, and let G be an isotropic reductive algebraic group over R. In [5] Victor Petrov and the second author introduced a notion of an elementary subgroup E(R) of the gro...