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Results tagged with algebraic-groups
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user 16002
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
1
vote
Reference for finite number of Weyl groups of reductive groups of rank $r$
A Weyl group is a crystallographic finite reflection group, i.e. it is a finite group generated by reflections in Euclidean space that preserves a lattice in the Euclidean space. So it suffices to pr …
- 1,780
2
votes
0
answers
126
views
Seeking a generalization of group embedding of symmetric varieties
I am looking for generalizations of the following construction.
Let $G$ be a connected, reductive group and let $\theta : G \rightarrow G$ be an involution. Let $H = G^{\theta}$ be the subgroup of $ …
- 1,780
2
votes
Bruhat order and Schubert cycles
The result is stated and proved as Corollary 2.2.2 of Michel Brion's Lectures on the Geometry of Flag Varieties.
- 1,780
7
votes
Accepted
Uniqueness of the wonderful compactification of a semi-simple group
I assume you mean the variety $G$ considered as a $G \times G$ variety via the action $(g,h) \cdot x = gxh^{-1}$, which is the standard interpretation in the literature. The variety $G$ is spherical a …
- 1,780