Tagged Questions
3
votes
0answers
43 views
When is an orbit spherical?
Let's assume we have an affine, reductive, algebraic, complex, generally friendly and cooperative group $G$ acting algebraically on a variety $X$. Let $x\in X$ be some point. Under what conditions on ...
1
vote
2answers
112 views
Diagonalizable linear algebraic group is isomorphic to $(\mathbb{C}^*)^r\times A$, for some finite abelian group $A$
I have three questions about algebraic groups.
Let $D$ be a linear algebraic group. Then the following are equivalent:
$D$ is diagonalizable.
$\mathop{Hom}(D,\mathbb{C}^*)$ is finitely generated ...
