4 papers · 1 filter
Lie and pre-Lie theory of Novikov algebras
Ruggero Bandiera, Frédéric Patras
Novikov algebras provide a simple but powerful algebraic axiomatization of important features of classical diferential calculus. We study their structure properties, modeling their…
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…
Noncrossing arithmetic
Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock +1
Higher-order notions of Kreweras complementation have appeared in the literature in the works of Krawczyk, Speicher, Mastnak, Nica, Arizmendi, Vargas, and others. While the theory…
Commutative B\_infty -algebras are shuffle algebras
Loïc Foissy, Frédéric Patras
We here construct an explicit isomorphism between any commutative Hopf algebra which underlying coalgebra is the tensor coalgebra of a space and the shuffle algebra based on th…