Enriched $P$-partitions and peak algebras (extended abstract)

Details Enriched $P$-partitions and peak algebras (extended abstract) Enriched $P$-partitions and peak algebras (extended abstract)

2005-12-15

arxiv.org/abs/math/0512366v1

Mathematics

Combinatorics

12 pages, 4 figures. Shortened version of math.CO/0508041

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Enriched $P$-partitions and peak algebras (extended abstract) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Enriched $P$-partitions and peak algebras (extended abstract), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enriched $P$-partitions and peak algebras (extended abstract) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168846