منابع مشابه
Enriched P - Partitions And
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 ...
متن کاملP-partitions revisited
We compare a traditional and non-traditional view on the subject of P-partitions, leading to formulas counting linear extensions of certain posets.
متن کاملCyclic Descents and P-Partitions
Louis Solomon showed that the group algebra of the symmetric group Sn has a subalgebra called the descent algebra, generated by sums of permutations with a given descent set. In fact, he showed that every Coxeter group has something that can be called a descent algebra. There is also a commutative, semisimple subalgebra of Solomon’s descent algebra generated by sums of permutations with the sam...
متن کاملShifted Dual Equivalence and Schur P -positivity
Dual equivalence puts a crystal-like structure on linear representations of the symmetric group that affords many nice combinatorial properties. In this talk, we extend this theory to type B, putting an analogous structure on projective representations of the symmetric group. On the level of generating functions, the type A theory gives a universal method for proving Schur positivity, and the t...
متن کاملPartially Ordinal Sums and P-partitions
We present a method of computing the generating function fP (x) of P -partitions of a poset P . The idea is to introduce two kinds of transformations on posets and compute fP (x) by recursively applying these transformations. As an application, we consider the partially ordinal sum Pn of n copies of a given poset, which generalizes both the direct sum and the ordinal sum. We show that the seque...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2019
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnz130