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Results tagged with ac.commutative-algebra
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user 4366
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
votes
Generalization of Jordan Decomposition for Several Commuting Operators
Let me elaborate on Johannes Ebert's comment.
Since you are dealing with commuting operators, you can find a basis for $V$ so that the matrices for $A_1,\ldots,A_n$ are in Jordan normal form. So, $V$ …
- 1,472
2
votes
Given a locally nilpotent derivation over a field of characteristic 0 and a local slice, how...
Let $m$ be maximal such that $D^ma\neq 0$. Then,
$$\Phi(a)=\frac{b}{(D\epsilon)^m}$$
where
$$
b=\sum_{k=0}^m\frac{(-1)^k}{k!}(D^ka)(\epsilon)^k(D\epsilon)^{m-k}.
$$
Now you need to show that $D(b)=0$. …
- 1,472