14 citations · 14 across the 7 of their papers we have counts for
11 papers
Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
Loïc Foissy, Claudia Malvenuto, Frédéric Patras
A fundamental result by L. Solomon in algebraic combinatorics and representation theory states that Mackey formulas for products of characters of a symmetric group, or equivalently…
The Fortuin-Kasteleyn polynomial as a bialgebra morphism and applications to the Tutte polynomial
Loïc Foissy, Claudia Malvenuto
We compute an explicit formula for the antipode of the double bialgebra of graphs in terms of totally acyclic partial orientations, using some general results on double bialgebras.…
Primitive Elements of the Hopf Algebras of Tableaux
Claudia Malvenuto, Christophe Reutenauer
The character theory of symmetric groups, and the theory of symmetric functions, both make use of the combinatorics of Young tableaux, such as the Robinson-Schensted algorithm, Sch…
A theory of pictures for quasi-posets
Loïc Foissy, Claudia Malvenuto, Frédéric Patras
The theory of pictures between posets is known to encode much of the combinatorics of symmetric group representations and related topics such as Young diagrams and tableaux. Many r…
Symmetril Moulds, Generic Group Schemes, Resummation of Mzvs
Claudia Malvenuto, Frédéric Patras
The present article deals with various generating series and group schemes (not necessarily affine ones) associated with MZVs. Our developments are motivated by Ecalle's mould calc…
The Hopf algebra of finite topologies and T-partitions
Loïc Foissy, Claudia Malvenuto
A noncommutative and noncocommutative Hopf algebra on finite topologies H_T is introduced and studied (freeness, cofreeness, self-duality...). Generalizing Stanley's definition of…