Quasisymmetric and noncommutative skew Pieri rules
Copyright policy )Quasisymmetric and noncommutative skew Pieri rules
In this note we derive skew Pieri rules in the spirit of Assaf-McNamara for skew quasisymmetric Schur functions using the Hopf algebraic techniques of Lam-Lauve-Sottile, and recover the original rules of Assaf-McNamara as a special case. We then apply these techniques a second time to obtain skew Pieri rules for skew noncommutative Schur functions.
18 pages, final version to appear in Adv. in Appl. Math
- University of Mary United States
- University of British Columbia Canada
- University of Washington United States
Permutations, words, matrices, Symmetric functions and generalizations, Hopf algebras and their applications, ``Super'' (or ``skew'') structure, composition poset, noncommutative symmetric function, composition tableau, skew Pieri rule, quasisymmetric function, Primary 05E05, 16T05, 16W55, Secondary 05A05, 05E10, composition, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
Permutations, words, matrices, Symmetric functions and generalizations, Hopf algebras and their applications, ``Super'' (or ``skew'') structure, composition poset, noncommutative symmetric function, composition tableau, skew Pieri rule, quasisymmetric function, Primary 05E05, 16T05, 16W55, Secondary 05A05, 05E10, composition, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
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