Calculates the bigraded Hilbert series of the GL_n(F_q)-superspace coinvariant ring SR = Omega/SI and gives an operator-theoretic characterization of SI^perp, extending to subgroups containing SL_n(F_q).
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4 Pith papers cite this work. Polarity classification is still indexing.
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A bivariate generating function for plethysm coefficients with bounded length(λ) is rational; for length 2 an explicit geometric algorithm exists via q-Ehrhart theory, plus linear recursions for the SL2 case.
Introduces q-, r-, and s-weighted Ehrhart functions, proves rationality and reciprocity results for some, and shows two of them arise as classical Ehrhart rings of weight-lifted polytopes.
Combinatorial characterization of locally anti-blocking g-polytopes arising from amply framed DAG flow polytopes, including minimal faces, pulling triangulations, and coherence diagrams.
citing papers explorer
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Superspace coinvariants and inverse systems for $GL_n(\mathbb{F}_q)$
Calculates the bigraded Hilbert series of the GL_n(F_q)-superspace coinvariant ring SR = Omega/SI and gives an operator-theoretic characterization of SI^perp, extending to subgroups containing SL_n(F_q).
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A geometric and generating function approach to plethysm
A bivariate generating function for plethysm coefficients with bounded length(λ) is rational; for length 2 an explicit geometric algorithm exists via q-Ehrhart theory, plus linear recursions for the SL2 case.
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Ehrhart Functions of Weighted Lattice Points
Introduces q-, r-, and s-weighted Ehrhart functions, proves rationality and reciprocity results for some, and shows two of them arise as classical Ehrhart rings of weight-lifted polytopes.
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Locally anti-blocking $\mathbf{g}$-polytopes for flow polytopes
Combinatorial characterization of locally anti-blocking g-polytopes arising from amply framed DAG flow polytopes, including minimal faces, pulling triangulations, and coherence diagrams.