Co-quasi-invariant spaces for finite complex reflection groups

Details Co-quasi-invariant spaces for finite complex reflection groups Co-quasi-invariant spaces for finite complex reflection groups

2011-07-04

arxiv.org/abs/1107.0537v2

Mathematics

Combinatorics

Scientific paper

We study, in a global uniform manner, the quotient of the ring of polynomials in l sets of n variables, by the ideal generated by diagonal quasi-invariant polynomials for general permutation groups W=G(r,n). We show that, for each such group W, there is an explicit universal symmetric function that gives the N^l-graded Hilbert series for these spaces. This function is universal in that its dependance on l only involves the number of variables it is calculated with. We also discuss the combinatorial implications of the observed fact that it affords an expansion as a positive coefficient polynomial in the complete homogeneous symmetric functions.

Affiliated with

Also associated with

No associations

Rating

Co-quasi-invariant spaces for finite complex reflection 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 Co-quasi-invariant spaces for finite complex reflection groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Co-quasi-invariant spaces for finite complex reflection groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3443