The immaculate basis of the non - commutative symmetric functions ( Extended Abstract )
نویسندگان
چکیده
We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric functions and decompose Schur functions according to a signed combinatorial formula. Résumé. Nous introduisons une nouvelle base des fonctions symétriques non commutatives dont les images commutatives sont des fonctions de Schur. Nous construisons la base duale des fonctions quasi-symétriques qui s’expriment de façon positive en fonction de la base fondamental et décomposer les fonctions de Schur.
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