5 citations · 11 across the 4 of their papers we have counts for
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A noncommutative cycle index and new bases of quasi-symmetric functions and noncommutative symmetric functions
Jean-Christophe Novelli, Jean-Yves Thibon, Frederic Toumazet
We define a new basis of the algebra of quasi-symmetric functions by lifting the cycle-index polynomials of symmetric groups to noncommutative polynomials with coefficients in the…
Noncommutative Bell polynomials and the dual immaculate basis
Jean-Christophe Novelli, Jean-Yves Thibon, Frédéric Toumazet
We define a new family of noncommutative Bell polynomials in the algebra of free quasi-symmetric functions and relate it to the dual immaculate basis of quasi-symmetric functions.…
Hopf algebras of diagrams
Gerard Henry Edmond Duchamp, Jean-Gabriel Luque, Jean-Christophe Novelli +2
We investigate several Hopf algebras of diagrams related to Quantum Field Theory of Partitions and whose product comes from the Hopf algebras WSym or WQSym respectively built on in…