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Immaculate basis of the non-commutative symmetric functions

Abstract : 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.
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https://hal.inria.fr/hal-01229712
Contributor : Alain Monteil <>
Submitted on : Tuesday, November 17, 2015 - 10:20:25 AM
Last modification on : Tuesday, October 6, 2020 - 10:56:02 AM
Long-term archiving on: : Thursday, February 18, 2016 - 11:42:47 AM

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Chris Berg, Nantel Bergeron, Franco Saliola, Luis Serrano, Mike Zabrocki. Immaculate basis of the non-commutative symmetric functions. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.265-276. ⟨hal-01229712⟩

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