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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…
math.CO2025
Diagonal supersymmetry for coinvariant rings
John Lentfer
For finite groups , we show that bosonic-fermionic coinvariant rings have a natural -module structure. In particular, we show that t…
math.CO2025
The sign character of the triagonal fermionic coinvariant ring
John Lentfer
We determine the trigraded multiplicity of the sign character of the triagonal fermionic coinvariant ring . As a corollary, this proves a conjecture of Bergeron (2020)…