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arXiv · 1907.00077

Noncommutative unicellular LLT polynomials

Jean-Christophe Novelli·Jean-Yves Thibon
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Abstract

It is known that unicellular LLT polynomials are related to the quasi-symmetric chromatic polynomials of certain graphs by the $(t-1)$-transform of symmetric functions. We investigate the extension of this transformation to various combinatorial Hopf algebras and prove a noncommutative version of this property.

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Jean-Christophe Novelli, Jean-Yves Thibon. 2020-03-20. Noncommutative unicellular LLT polynomials. https://arxiv.org/abs/1907.00077

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