54 citations · 54 across the 1 of their papers we have counts for
2 papers
math.CO2000★ 54 cited
Non-commutative Pieri operators on posets
Nantel Bergeron, Stefan Mykytiuk, Frank Sottile +1
We consider graded representations of the algebra NC of noncommutative symmetric functions on the Z-linear span of a graded poset P. The matrix coefficients of such a representatio…
math.CO1999
Shifted Quasi-Symmetric Functions and the Hopf algebra of peak functions
Nantel Bergeron, Stefan Mykytiuk, Frank Sottile +1
In his work on P-partitions, Stembridge defined the algebra of peak functions Pi, which is both a subalgebra and a retraction of the algebra of quasi-symmetric functions. We show t…