The Sign Representation for Shephard Groups

Details The Sign Representation for Shephard Groups The Sign Representation for Shephard Groups

2000-11-15

arxiv.org/abs/math/0011105v1

Mathematics

Group Theory

Submitted. 13 pages

Scientific paper

Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal ideal in the coinvariant algebra generated by the image of the product of all linear forms defining reflecting hyperplanes. This representation turns out to have many equivalent guises making it analogous to the sign representation of a finite Coxeter group. One of these guises is (up to a twist) the cohomology of the Milnor fiber for the isolated singularity at 0 in the hypersurface defined by any homogeneous invariant of minimal degree.

Affiliated with

Also associated with

No associations

Rating

The Sign Representation for Shephard 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 The Sign Representation for Shephard Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Sign Representation for Shephard Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-447396