Ribbons and homogeneous symmetric functions

Mike Zabrocki

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


We demonstrate an elegant combinatorial formula for the operation which adds a column on the homogeneous symmetric functions when this function acts on the Schur basis. A q-analog of this formula adds a column on the Hall-Littlewood basis.

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