Universal series for dihedral group coinvariant rings
Combinatorics
2025-09-19 v1
Abstract
In 1994, Alfano determined a monomial basis, bigraded Hilbert series, and bigraded Frobenius series for the ring of diagonal dihedral group coinvariants . Using diagonal supersymmetry, we determine a universal multigraded character series, universal multigraded Hilbert series, and monomial basis for the generalization to any sets of bosonic variables and sets of fermionic variables .
Cite
@article{arxiv.2509.15054,
title = {Universal series for dihedral group coinvariant rings},
author = {John Lentfer},
journal= {arXiv preprint arXiv:2509.15054},
year = {2025}
}
Comments
15 pages, 2 figures, comments are welcome