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Results tagged with invariant-theory
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user 4794
Invariant theory deals with an algebraic, geometric or analytic structure $X$, submitted to the action of an (algebraic) group $G$. It studies $G$-invariant elements of $X$ as well as the set of $G$-orbits.
6
votes
Accepted
Lifting $G$-invariants from characteristic $p\gg 0$ to characteristic 0 for a reductive alge...
We offer two facts and a Theorem.
Let $S$ be a commutative noetherian ring containing $\mathbb Z$ and let $G=G_S$ be
reductive over $S$ in the sense of SGA3. That is, $G$ is smooth over $S$
with …
- 3,504
5
votes
Accepted
Behavior of invariants under reduction mod p
No.
Let $G=SL_n$, acting on its defining representation $V$, with $n\geq2$.
Let $R=\mathbb{Z}[X_1,\dots,X_n]$ be the obvious $\mathbb{Z}$-form of the ring
of polynomial functions on $V$. Let $p$ be a …
- 3,504