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math.CO2006
Colored posets and colored quasisymmetric functions
Samuel K. Hsiao, T. Kyle Petersen
The colored quasisymmetric functions, like the classic quasisymmetric functions, are known to form a Hopf algebra with a natural peak subalgebra. We show how these algebras arise a…
math.CO2006★ 5 cited
The Hopf algebras of type B quasisymmetric functions and peak functions
Samuel K. Hsiao, T. Kyle Petersen
We show that with the appropriate choice of coproduct, the type B quasisymmetric functions form a Hopf algebra, and the recently introduced type B peak functions form a Hopf subalg…