Noncommutative unicellular LLT polynomials

Novelli Jean-Christophe,Thibon Jean-Yves

Journal of Combinatorial Theory, Series A（2021）

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摘要

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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关键词

Noncommutative symmetric functions,Quasi-symmetric functions,LLT polynomials

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