Enriched $P$-partitions and peak algebras (extended abstract)
| dc.creator | Petersen, T. Kyle | |
| dc.date | 2005-12-15 | |
| dc.date.accessioned | 2026-07-07T06:55:21Z | |
| dc.date.available | 2026-07-07T06:55:21Z | |
| dc.description | We generalize Stembridge's enriched $P$-partitions and use this theory to outline the structure of peak algebras for the symmetric group and the hyperoctahedral group. Whereas Stembridge's enriched $P$-partitions are related to quasisymmetric functions (the coalgebra dual to Solomon's type A descent algebra), our generalized enriched $P$-partitions are related to type B quasisymmetric functions (the coalgebra dual to Solomon's type B descent algebra). Using these functions, we explore three different peak algebras: the "interior" and "left" peak algebras of type A, and a new type B peak algebra. Our results specialize to results for commutative peak algebras as well. | |
| dc.description | 12 pages, 4 figures. Shortened version of math.CO/0508041 | |
| dc.identifier | https://arxiv.org/abs/math/0512366 | |
| dc.identifier | http://arxiv.org/abs/math/0512366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106250 | |
| dc.subject | Combinatorics | |
| dc.subject | Rings and Algebras | |
| dc.subject | 05E99, 20F55, 06A07 | |
| dc.title | Enriched $P$-partitions and peak algebras (extended abstract) | |
| dc.type | text |