Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424514 | Journal of Combinatorial Theory, Series A | 2012 | 15 Pages |
Abstract
We study, in a global uniform manner, the quotient of the ring of polynomials in â sets of n variables, by the ideal generated by diagonal quasi-invariant polynomials for generalized permutation groups W=G(r,n). We show that, for each such group W, there is an explicit universal symmetric function that gives the Nâ-graded Hilbert series for these spaces. This function is universal in that its dependence on â only involves the number of variables it is calculated with.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
J.-C. Aval, F. Bergeron,