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Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2020

Schur-positivity via products of grid classes

Résumé

Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets, based on geometric grid classes and the product operation. Our approach produces many new instances of Schur-positive sets, and provides a broad framework that explains the existence of known such sets that until now were sporadic cases.
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Dates et versions

hal-02173379 , version 1 (04-07-2019)

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Sergi Elizalde, Yuval Roichman. Schur-positivity via products of grid classes. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6373⟩. ⟨hal-02173379⟩
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