5 citations · 11 across the 4 of their papers we have counts for
5 papers
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.…
Formal Proof of SCHUR Conjugate Function
Franck Butelle, Florent Hivert, Micaela Mayero +1
The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie groups and s…
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…
Unitary invariants of qubit systems
Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon
We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local fil…