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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 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…
Long Cycle Factorizations : Bijective Computation in the General Case
Ekaterina A. Vassilieva
This paper is devoted to the computation of the number of ordered factorizations of a long cycle in the symmetric group where the number of factors is arbitrary and the cycle struc…
Bijective evaluation of the connection coefficients of the double coset algebra
Alejandro H. Morales, Ekaterina A. Vassilieva
This paper is devoted to the evaluation of the generating series of the connection coefficients of the double cosets of the hyperoctahedral group. Hanlon, Stanley, Stembridge (1992…