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Schützenberger's factorization on the (completed) Hopf algebra of stuffle product
Chen Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh
In order to extend the Schützenberger's factorization, the combinatorial Hopf algebra of the -stuffles product is developed systematically in a parallel way with that of the shu…
math.CO2013
Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization
Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh +1
In this work, an effective construction, via Schützenberger's monoidal factorization, of dual bases for the non commutative symmetric and quasi-symmetric functions is proposed.