Dual graphs from noncommutative and quasisymmetric Schur functions

van Willigenburg, S.

doi:10.1090/proc/14786

Dual graphs from noncommutative and quasisymmetric Schur functions
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Proc. Amer. Math. Soc. 148 (2020), 1063-1078 Request permission

Abstract:

By establishing relations between operators on compositions, we show that the posets of compositions arising from the right and left Pieri rules for noncommutative Schur functions can each be endowed with both the structure of dual graded graphs and dual filtered graphs when paired with the poset of compositions arising from the Pieri rules for quasisymmetric Schur functions and its deformation.

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