John Lentfer

activity

20242026

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math.RT2026

The bigraded Frobenius series of the wreath product superspace coinvariant rings

Sutanay Bhattacharya, Sylvie Corteel, Yuhan Jiang +2

We determine the bigraded Frobenius series of the superspace coinvariant ring $R_{Z_{r} ≀ S_{n}}^{(1, 1)}$ for the wreath products $Z_{r} ≀ S_{n}$ , w…

math.RT2026

Sign components of diagonal superspace coinvariants

Nicolle González, John Lentfer, Hanna Mularczyk

We prove the sign-isotypic components of the coinvariant rings $R_{n}^{(2, 1)}$ and $R_{n}^{(2, 0)} \otimes R_{n}^{(0, 1)}$ are isomorphic and show that the triply-graded multiplicity of th…

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 $B$ fermionic coinvariant rings

Yuhan Jiang, John Lentfer

Let $B_{n}$ denote the hyperoctahedral group. The type $B$ coinvariant rings $R_{B_{n}}^{(k, j)}$ are quotients of the ring of polynomials in $k$ sets of $n$ commu…

The bigraded Frobenius series of the wreath product superspace coinvariant rings

Sign components of diagonal superspace coinvariants

Universal Hilbert series coefficients of the superspace coinvariant ring

Type B fermionic coinvariant rings

Type $B$ fermionic coinvariant rings