Proves Sagan-Swanson conjecture on monomial basis for SR_G of G = Z_r wr S_n and gives combinatorial model for its ungraded and exterior-graded G-module structure.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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).
citing papers explorer
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Superspace coinvariants for wreath products
Proves Sagan-Swanson conjecture on monomial basis for SR_G of G = Z_r wr S_n and gives combinatorial model for its ungraded and exterior-graded G-module structure.
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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).