2006/10/31 by Samuel K. Hsiao, Hsiao, Samuel K., T. Kyle Petersen +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CO #math.RA
paper · pdf · doi:10.48550/arxiv.math/0610984
31 pages, 5 figures
arxiv created 2006/10/31 · arxiv updated 2009/12/01
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 as the image of the algebra of colored posets. To effect this approach we introduce colored analogs of P-partitions and enriched P-partitions. We also frame our results in terms of Aguiar, Bergeron, and Sottile's theory of combinatorial Hopf algebras and its colored analog.