Noncommutative unicellular LLT polynomials

Published 28 Jun 2019 in math.CO | (1907.00077v3)

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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