Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups
Abstract
For finite complex reflexion groups, we consider the graded $W$-modules of diagonally harmonic polynomials in $r$ sets of variables, and show that associated Hilbert series may be described in a global manner, independent of the value of $r$.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- 10.48550/arXiv.1105.4358
- arXiv:
- arXiv:1105.4358
- Bibcode:
- 2011arXiv1105.4358B
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Representation Theory;
- 05E05;
- 05E10
- E-Print:
- 12 pages, Removed a (wrong) conjecture, and reformulated in agreement. Also cleared up section on low degree terms