11 citations · 31 across the 10 of their papers we have counts for
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math.CO2007★ 3 cited
Quasisymmetric functions and Kazhdan-Lusztig polynomials
Louis J. Billera, Francesco Brenti
We associate a quasisymmetric function to any Bruhat interval in a general Coxeter group. This association can be seen to be a morphism of Hopf algebras to the subalgebra of all pe…
math.CO2007
Peak Quasisymmetric Functions and Eulerian Enumeration
Louis J. Billera, Samuel K. Hsiao, Stephanie van Willigenburg
Via duality of Hopf algebras, there is a direct association between peak quasisymmetric functions and enumeration of chains in Eulerian posets. We study this association explicitly…