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The shifted Poirier-Reutenauer algebra
Published 8 Nov 2014 in math.CO and math.QA | (1411.2131v1)
Abstract: Based on the shifted Schensted correspondence and the shifted Knuth equivalence, a shifted analog of the Poirier-Reutenauer algebra as a higher lift of Schur's P-functions and a right coideal subalgebra of the Poirier-Reutenauer algebra is constructed. Its close relations with the peak subalgebra and the Stembridge algebra of peak functions are also uncovered.
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