Determines trigraded sign multiplicity in R_n^(0,3) proving it sums to n^2-n+1; gives explicit double-hook formula for R_n^(0,2) and discusses R_n^(0,4) and a graded refinement of another conjecture.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Proposes a monomial basis for R_n^(1,2) with proven cardinality 2^(n-1)n! matching Zabrocki's conjecture, plus a bijection equating it to segmented Smirnov word models.
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The sign character of the triagonal fermionic coinvariant ring
Determines trigraded sign multiplicity in R_n^(0,3) proving it sums to n^2-n+1; gives explicit double-hook formula for R_n^(0,2) and discusses R_n^(0,4) and a graded refinement of another conjecture.
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A conjectural basis for the $(1,2)$-bosonic-fermionic coinvariant ring
Proposes a monomial basis for R_n^(1,2) with proven cardinality 2^(n-1)n! matching Zabrocki's conjecture, plus a bijection equating it to segmented Smirnov word models.