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Article Dans Une Revue Mathematical Research Letters Année : 2017

Epimorphic subgroups of algebraic groups

Michel Brion

Résumé

In this note, we show that the epimorphic subgroups of an algebraic group are exactly the pull-backs of the epimorphic subgroups of its affinization. We also obtain epimorphicity criteria for subgroups of affine algebraic groups, which generalize a result of Bien and Borel. Moreover, we extend the affinization theorem for algebraic groups to homogeneous spaces.

Dates et versions

hal-02020792 , version 1 (15-02-2019)

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Michel Brion. Epimorphic subgroups of algebraic groups. Mathematical Research Letters, 2017, 24 (6), pp.1649-1665. ⟨10.4310/mrl.2017.v24.n6.a4⟩. ⟨hal-02020792⟩
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