Temperley-Lieb immanants are Schur-positive on ribbon decomposition matrices, generalizing Haiman's Jacobi-Trudi result, with a conjecture for the full dual canonical basis.
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3 Pith papers cite this work, alongside 122 external citations. Polarity classification is still indexing.
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Spectra of Hermitian triples A, B, A+B equal honeycomb boundary positions because both families satisfy the same four axioms (base, direct sum, convexity, splitting).
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
citing papers explorer
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Temperley-Lieb Immanants of Ribbon Decomposition Matrices
Temperley-Lieb immanants are Schur-positive on ribbon decomposition matrices, generalizing Haiman's Jacobi-Trudi result, with a conjecture for the full dual canonical basis.
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Honeycombs and Sums of Hermitian Matrices, Revisited
Spectra of Hermitian triples A, B, A+B equal honeycomb boundary positions because both families satisfy the same four axioms (base, direct sum, convexity, splitting).
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Order polytopes of generalized snake posets are $h^*$-real-rooted
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.