Invariant theory of abelian transvection groups

Details Invariant theory of abelian transvection groups Invariant theory of abelian transvection groups

2007-09-05

arxiv.org/abs/0709.0712v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

Let $G$ be a finite group acting linearly on the vector space $V$ over a field of arbitrary characteristic. The action is called {\em coregular} if the invariant ring is generated by algebraically independent homogeneous invariants and the {\em direct summand property} holds if there is a surjective $k[V]^G$-linear map $\pi:k[V]\to k[V]^G$. The following Chevalley--Shephard--Todd type theorem is proved. Suppose $G$ is abelian, then the action is coregular if and only if $G$ is generated by pseudo-reflections and the direct summand property holds.

Affiliated with

Also associated with

No associations

Rating

Invariant theory of abelian transvection groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Invariant theory of abelian transvection groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant theory of abelian transvection groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470987