A module for the Delta conjecture
classification
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conjecturedeltamoduleappearsarxivcharacteristicconjectureddefine
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We define a module that is an extension of the diagonal harmonics and whose graded Frobenius characteristic is conjectured to be the symmetric function expression which appears in `the Delta conjecture' of Haglund, Remmel and Wilson [arXiv:1509.07058].
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Cited by 2 Pith papers
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The nonsymmetric compositional Delta theorem
A nonsymmetric generalization of the compositional Delta theorem is established via flagged LLT polynomials and nonsymmetric nabla and tau-star operators, with Weyl symmetrization recovering the symmetric case.
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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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