Projective normality of Weyl group quotients

Details Projective normality of Weyl group quotients Projective normality of Weyl group quotients

2010-07-05

arxiv.org/abs/1007.0606v2

Mathematics

Algebraic Geometry

10 pages

Scientific paper

In this note, we prove that for the standard representation $V$of the Weyl group $W$ of a semi-simple algebraic group of type $A_n, B_n, C_n, D_n, F_4$ and $G_2$ over $\mathbb C$, the projective variety $\mathbb P(V^m)/W$ is projectively normal with respect to the descent of $\mathcal O(1)^{\otimes |W|}$, where $V^m$ denote the direct sum of $m$ copies of $V$. We also prove that for any finite group $G$ and for any finite dimentional representation $V$ over $\mathbb C$, the projective variety $P(V)/G$ is projectively normal with respect to the descent of $\mathcal O(1)^{\otimes n!}$ as a consequence.

Affiliated with

Also associated with

No associations

Rating

Projective normality of Weyl group quotients 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 Projective normality of Weyl group quotients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projective normality of Weyl group quotients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-594163