The shifted Poirier-Reutenauer algebra
Combinatorics
2015-11-13 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1411.2131,
title = {The shifted Poirier-Reutenauer algebra},
author = {Naihuan Jing and Yunnan Li},
journal= {arXiv preprint arXiv:1411.2131},
year = {2015}
}
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20 pages