A LIFT OF THE SCHUR AND HALL-LITTLEWOOD BASES TO NON-COMMUTATIVE SYMMETRIC FUNCTIONS

Canadian Journal of Mathematics, pp. 525-565, 2014.

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Abstract:

We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric functions and decompose Schur functions. We then use the basis to construct a non-commutative lift of the H...More

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