Simple Immersions of Wonderful Varieties
نویسنده
چکیده
Let G be a semisimple connected linear algebraic group over C, and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G-module. For any wonderful variety X we give a necessary and sufficient condition in terms of its set of spherical roots, which are certain characters of B (a fixed Borel subgroup of G) associated to the G-action on X, and precise which linear systems give rise to such immersions.
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