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Normality of Torus Orbit Closures in G/P

✍ Scribed by James B. Carrell; Alexandre Kurth


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
130 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis


The purpose of this note is to classify the torus orbit closures in an arbitrary algebraic homogeneous space G/P that are toric varieties.


πŸ“œ SIMILAR VOLUMES


Closures of torus orbits in adjoint repr
✍ Jacqueline Morand πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 466 KB

Let G be a semisimple group over an algebraically closed field of characteristic 0, T c G a maximal torus and g the Lie algebra of G. Consider the adjoint representation Ad : T -GL(g). We show that all closures of torus orbits of the form Ad(T)w, for 21 E 0, are normal if and only if G contains only