7 citations · 14 across the 12 of their papers we have counts for
14 papers
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…
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…
A domino tableau-based view on type B Schur-positivity
Alina R. Mayorova, Ekaterina A. Vassilieva
Over the past years, major attention has been drawn to the question of identifying Schur-positive sets, i.e. sets of permutations whose associated quasisymmetric function is symmet…
On the product of generating functions for domino and bi-tableaux
Ekaterina A. Vassilieva
The connection between the generating functions of various sets of tableaux and the appropriate families of quasisymmetric functions is a significant tool to give a direct analytic…
On the matchings-Jack and hypermap-Jack conjectures for labelled matchings and star hypermaps
Andrei L. Kanunnikov, Valentin V. Promyslov, Ekaterina A. Vassilieva
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the -conjecture) are two major open question…
Generating series formulas for the structure constants of Solomon's descent algebra
Alina R. Mayorova, Ekaterina A. Vassilieva
Introduced by Solomon in his 1976 paper, the descent algebra of a finite Coxeter group received significant attention over the past decades. As proved by Gessel, in the case of the…