The invariant-theory tag has no wiki summary.
2
votes
1answer
71 views
Describe invariant polynomials under action of commutative group of order eight.
I believe the question below should be fairly standard in invariant theory ; I hope someone more familiar with it than me can explain a bit more or point to a reference.
Let $F$ be polynomial field ...
1
vote
2answers
110 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 ...
