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math.CO2022
Noncommutative Schur functions for posets
Jonah Blasiak, Holden Eriksson, Pavlo Pylyavskyy +1
The machinery of noncommutative Schur functions is a general approach to Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang recently adapted this theory to po…
math.CO2022
Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants
Daoji Huang, Pavlo Pylyavskyy
We introduce analogs of left and right RSK insertion for Schubert calculus of complete flag varieties. The objects being inserted are certain biwords, the insertion objects are bum…