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math.CO2022
Weighted posets and the enriched monomial basis of QSym (extended abstract)
Darij Grinberg, Ekaterina A. Vassilieva
Gessel's fundamental and Stembridge's peak functions are the generating functions for (enriched) -partitions on labelled chains. They are also the bases of two significant subal…
math.CO2022
A -deformation of enriched -partitions (extended abstract)
Darij Grinberg, Ekaterina A. Vassilieva
We introduce a -deformation that generalises in a single framework previous works on classical and enriched -partitions. In particular, we build a new family of power series…