Author

John Lentfer

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Preprint Sep 2026

Sign components of diagonal superspace coinvariants

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 this sign character is the Schr\"oder polynomial $S_n(q,t,a)$, divided by $1+a$. This settles the sign-character component of a conjecture of...

Nicolle González, John Lentfer, Hanna Mularczyk · 0 citations

Preprint Aug 2026

Type $B$ fermionic coinvariant rings

Let $\mathfrak{B}_n$ denote the hyperoctahedral group. The type $B$ coinvariant rings $R_{\mathfrak{B}_n}^{(k,j)}$ are quotients of the ring of polynomials in $k$ sets of $n$ commuting variables and $j$ sets of $n$ anticommuting variables by the ideal generated by the diagonal $\mathfrak{B}_n$-invariants without consta...

Yuhan Jiang, John Lentfer · 0 citations