Matches in SemOpenAlex for { <https://semopenalex.org/work/W2418805087> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2418805087 abstract "Given a filter $Delta$ in the poset of compositions of $n$, we form the filter $Pi^{*}_{Delta}$ in the partition lattice. We determine all the reduced homology groups of the order complex of $Pi^{*}_{Delta}$ as ${mathfrak S}_{n-1}$-modules in terms of the reduced homology groups of the simplicial complex $Delta$ and in terms of Specht modules of border shapes. We also obtain the homotopy type of this order complex. These results generalize work of Calderbank--Hanlon--Robinson and Wachs on the $d$-divisible partition lattice. Our main theorem applies to a plethora of examples, including filters associated to integer knapsack partitions and filters generated by all partitions having block sizes $a$ or~$b$. We also obtain the reduced homology groups of the filter generated by all partitions having block sizes belonging to the arithmetic progression $a, a + d, ldots, a + (a-1) cdot d$, extending work of Browdy." @default.
- W2418805087 created "2016-06-24" @default.
- W2418805087 creator A5055570518 @default.
- W2418805087 creator A5070448622 @default.
- W2418805087 date "2016-06-05" @default.
- W2418805087 modified "2023-09-24" @default.
- W2418805087 title "Filters in the partition lattice" @default.
- W2418805087 cites W1526218397 @default.
- W2418805087 cites W2067320522 @default.
- W2418805087 cites W2069866577 @default.
- W2418805087 cites W2524449433 @default.
- W2418805087 hasPublicationYear "2016" @default.
- W2418805087 type Work @default.
- W2418805087 sameAs 2418805087 @default.
- W2418805087 citedByCount "0" @default.
- W2418805087 crossrefType "posted-content" @default.
- W2418805087 hasAuthorship W2418805087A5055570518 @default.
- W2418805087 hasAuthorship W2418805087A5070448622 @default.
- W2418805087 hasConcept C104317684 @default.
- W2418805087 hasConcept C11413529 @default.
- W2418805087 hasConcept C114614502 @default.
- W2418805087 hasConcept C118615104 @default.
- W2418805087 hasConcept C121332964 @default.
- W2418805087 hasConcept C142885752 @default.
- W2418805087 hasConcept C165525559 @default.
- W2418805087 hasConcept C180645754 @default.
- W2418805087 hasConcept C185592680 @default.
- W2418805087 hasConcept C187929450 @default.
- W2418805087 hasConcept C202444582 @default.
- W2418805087 hasConcept C24890656 @default.
- W2418805087 hasConcept C2781204021 @default.
- W2418805087 hasConcept C2874115 @default.
- W2418805087 hasConcept C33923547 @default.
- W2418805087 hasConcept C42812 @default.
- W2418805087 hasConcept C55493867 @default.
- W2418805087 hasConcept C56863137 @default.
- W2418805087 hasConcept C5961521 @default.
- W2418805087 hasConcept C62520636 @default.
- W2418805087 hasConceptScore W2418805087C104317684 @default.
- W2418805087 hasConceptScore W2418805087C11413529 @default.
- W2418805087 hasConceptScore W2418805087C114614502 @default.
- W2418805087 hasConceptScore W2418805087C118615104 @default.
- W2418805087 hasConceptScore W2418805087C121332964 @default.
- W2418805087 hasConceptScore W2418805087C142885752 @default.
- W2418805087 hasConceptScore W2418805087C165525559 @default.
- W2418805087 hasConceptScore W2418805087C180645754 @default.
- W2418805087 hasConceptScore W2418805087C185592680 @default.
- W2418805087 hasConceptScore W2418805087C187929450 @default.
- W2418805087 hasConceptScore W2418805087C202444582 @default.
- W2418805087 hasConceptScore W2418805087C24890656 @default.
- W2418805087 hasConceptScore W2418805087C2781204021 @default.
- W2418805087 hasConceptScore W2418805087C2874115 @default.
- W2418805087 hasConceptScore W2418805087C33923547 @default.
- W2418805087 hasConceptScore W2418805087C42812 @default.
- W2418805087 hasConceptScore W2418805087C55493867 @default.
- W2418805087 hasConceptScore W2418805087C56863137 @default.
- W2418805087 hasConceptScore W2418805087C5961521 @default.
- W2418805087 hasConceptScore W2418805087C62520636 @default.
- W2418805087 hasLocation W24188050871 @default.
- W2418805087 hasOpenAccess W2418805087 @default.
- W2418805087 hasPrimaryLocation W24188050871 @default.
- W2418805087 hasRelatedWork W1517085616 @default.
- W2418805087 hasRelatedWork W1545406086 @default.
- W2418805087 hasRelatedWork W1645011610 @default.
- W2418805087 hasRelatedWork W1867857226 @default.
- W2418805087 hasRelatedWork W1971571763 @default.
- W2418805087 hasRelatedWork W1978705134 @default.
- W2418805087 hasRelatedWork W1980887482 @default.
- W2418805087 hasRelatedWork W2012384808 @default.
- W2418805087 hasRelatedWork W2066689580 @default.
- W2418805087 hasRelatedWork W2108822671 @default.
- W2418805087 hasRelatedWork W2165245065 @default.
- W2418805087 hasRelatedWork W2560761509 @default.
- W2418805087 hasRelatedWork W2789928942 @default.
- W2418805087 hasRelatedWork W2949108772 @default.
- W2418805087 hasRelatedWork W2950076364 @default.
- W2418805087 hasRelatedWork W2963016451 @default.
- W2418805087 hasRelatedWork W3044606054 @default.
- W2418805087 hasRelatedWork W3080705980 @default.
- W2418805087 hasRelatedWork W3116135107 @default.
- W2418805087 hasRelatedWork W3159975715 @default.
- W2418805087 isParatext "false" @default.
- W2418805087 isRetracted "false" @default.
- W2418805087 magId "2418805087" @default.
- W2418805087 workType "article" @default.