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arXiv · 1411.2131

The shifted Poirier-Reutenauer algebra

Naihuan Jing·Yunnan Li
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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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Naihuan Jing, Yunnan Li. 2014-11-08. The shifted Poirier-Reutenauer algebra. https://doi.org/10.1007/s00209-015-1496-6

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