3 papers
math.CO2026
Universal Hilbert series coefficients of the superspace coinvariant ring
Sylvie Corteel, John Lentfer
The coefficients that determine the Hilbert series of the superspace coinvariant ring are indexed by hook-shaped partitions. We give a manifestly positive combinatorial interpretat…
math.CO2026
Type fermionic coinvariant rings
Yuhan Jiang, John Lentfer
Let denote the hyperoctahedral group. The type coinvariant rings are quotients of the ring of polynomials in sets of commu…
math.CO2025
Universal series for dihedral group coinvariant rings
John Lentfer
In 1994, Alfano determined a monomial basis, bigraded Hilbert series, and bigraded Frobenius series for the ring of diagonal dihedral group coinvariants $R^{(2,0)}_{\mathfrak{I}_{2…