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arXiv · 2011.15080

LLT cumulants of unicellular Young diagrams, parking functions and Schur positivity

Maciej Kowalski
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Abstract

We give a combinatorial formula for LLT cumulants of unicellular unilevelled shapes in terms of parking functions and Cayley trees. Our formula implies previously conjectured Schur positivity.

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Maciej Kowalski. 2020-12-01. LLT cumulants of unicellular Young diagrams, parking functions and Schur positivity. https://arxiv.org/abs/2011.15080

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