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- W1581936697 abstract "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." @default.
- W1581936697 created "2016-06-24" @default.
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- W1581936697 date "2005-12-15" @default.
- W1581936697 modified "2023-09-27" @default.
- W1581936697 title "ENRICHED P-PARTITIONS AND PEAK ALGEBRAS (EXTENDED ABSTRACT)" @default.
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