190 citations · 1.2k across the 86 of their papers we have counts for
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Hopf algebras and dendriform structures arising from parking functions
Jean-Christophe Novelli, Jean-Yves Thibon
We introduce a graded Hopf algebra based on the set of parking functions (hence of dimension (n+1)^{n-1} in degree n). This algebra can be embedded into a noncommutative polynomial…
Construction of dendriform trialgebras
Jean-Christophe Novelli, Jean-Yves Thibon
We realize the free dendriform trialgebra on one generator, as well as several other examples of dendriform trialgebras, as sub-trialgebras of an algebra of noncommutative polynomi…
Algebraic invariants of five qubits
Jean-Gabriel Luque, Jean-Yves Thibon
The Hilbert series of the algebra of polynomial invariants of pure states of five qubits is obtained, and the simplest invariants are computed.
Commutative Hopf algebras of permutations and trees
F. Hivert, J. -C. Novelli, J. -Y. Thibon
We propose several constructions of commutative or cocommutative Hopf algebras based on various combinatorial structures, and investigate the relations between them. A commutative…