12 citations · 76 across the 61 of their papers we have counts for
Showing 2011 · math.RAShow all
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math.RA2011
General Dyson-Schwinger equations and systems
Loïc Foissy
We classify combinatorial Dyson-Schwinger equations giving a Hopf subalgebra of the Hopf algebra of Feynman graphs of the considered Quantum Field Theory. We first treat single equ…
math.RA2011
Plane posets, special posets, and permutations
Loïc Foissy
We study the self-dual Hopf algebra $\h\_{\SP}$ of special posets introduced by Malvenuto and Reutenauer and the Hopf algebra morphism from $\h\_{\SP}$ to to the Hopf algebra of fr…
math.RA2011★ 2 cited
Algebraic structures on double and plane posets
Loïc Foissy
We study the Hopf algebra of double posets and two of its Hopf subalgebras, the Hopf algebras of plane posets and of posets "without N". We prove that they are free, cofree, self-d…