The shifted Poirier-Reutenauer algebra
arXiv:1411.2131 · doi:10.1007/s00209-015-1496-6
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.
20 pages