Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization

Christophe Tollu (LIPN); G\'erard Henry Edmond Duchamp (LIPN); Ladji Kane (LIPN); Vincel Hoang Ngoc Minh (LIPN)

arxiv: 1305.4447 · v1 · pith:LEQRSJGJnew · submitted 2013-05-20 · 🧮 math.CO · cs.SC

Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization

G\'erard Henry Edmond Duchamp (LIPN) , Ladji Kane (LIPN) , Vincel Hoang Ngoc Minh (LIPN) , Christophe Tollu (LIPN) This is my paper

classification 🧮 math.CO cs.SC

keywords basescommutativedualfactorizationfunctionsmonoidalquasi-symmetricsymmetric

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In this work, an effective construction, via Sch\"utzenberger's monoidal factorization, of dual bases for the non commutative symmetric and quasi-symmetric functions is proposed.

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Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization

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