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math.CO2014
The shifted Poirier-Reutenauer algebra
Naihuan Jing, Yunnan Li
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 ri…
math.CO2014★ 15 cited
A lift of Schur's Q-functions to the peak algebra
Naihuan Jing, Yunnan Li
We construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with s…