On the Schur expansion of Jack polynomials
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Publication:2632732
zbMATH Open1411.05258arXiv1805.00511MaRDI QIDQ2632732
Author name not available (Why is that?)
Publication date: 15 May 2019
Published in: (Search for Journal in Brave)
Abstract: We present positivity conjectures for the Schur expansion of Jack symmetric functions in two bases given by binomial coefficients. Partial results suggest that there are rich combinatorics to be found in these bases, including Eulerian numbers, Stirling numbers, quasi-Yamanouchi tableaux, and rook boards. These results also lead to further conjectures about the fundamental quasisymmetric expansions of these bases, which we prove for special cases.
Full work available at URL: https://arxiv.org/abs/1805.00511
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