Der Verband der zusammenhängenden Untergruppen einer kommutativen algebraischen Gruppe

Springer Science and Business Media LLC - Tập 85 - Trang 37-48 - 2005
P. Plaumann1, K. Strambach1, G. Zacher2
1Mathematisches Institut, Universität Erlangen-Nürnberg, Erlangen, Germany
2Dipartimento di Matematica Pura ed Aplicata, Universita degli Studi di Padova, Padova, Italy

Tóm tắt

We classify the connected commutative algebraic groups having as lattice of connected closed subgroups a projective space and determine the coordinate fields of these projective spaces. Furthermore we determine the not necessarily commutative connected algebraic groups with a distributive or boolean lattice of connected closed subgroups.