Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313304901> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4313304901 abstract "The characters of Kazhdan--Lusztig elements of the Hecke algebra over $S_n$ (and in particular, the chromatic symmetric function of indifference graphs) are completely encoded in the (intersection) cohomology of certain subvarieties of the flag variety. Considering the forgetful map to some partial flag variety, the decomposition theorem tells us that this cohomology splits as a sum of intersection cohomology groups with coefficients in some local systems of subvarieties of the partial flag variety. We prove that these local systems correspond to representations of subgroups of $S_n$. An explicit characterization of such representations would provide a recursive formula for the computation of such characters/chromatic symmetric functions, which could settle Haiman's conjecture about the positivity of the monomial characters of Kazhdan--Lusztig elements and Stanley--Stembridge conjecture about $e$-positivity of chromatic symmetric function of indifference graphs. We also find a connection between the character of certain homology groups of subvarieties of the partial flag varieties and the Grojnowski--Haiman hybrid basis of the Hecke algebra." @default.
- W4313304901 created "2023-01-06" @default.
- W4313304901 creator A5053792691 @default.
- W4313304901 creator A5073040305 @default.
- W4313304901 date "2022-12-27" @default.
- W4313304901 modified "2023-09-23" @default.
- W4313304901 title "Parabolic Lusztig varieties and chromatic symmetric functions" @default.
- W4313304901 doi "https://doi.org/10.48550/arxiv.2212.13497" @default.
- W4313304901 hasPublicationYear "2022" @default.
- W4313304901 type Work @default.
- W4313304901 citedByCount "0" @default.
- W4313304901 crossrefType "posted-content" @default.
- W4313304901 hasAuthorship W4313304901A5053792691 @default.
- W4313304901 hasAuthorship W4313304901A5073040305 @default.
- W4313304901 hasBestOaLocation W43133049011 @default.
- W4313304901 hasConcept C105795698 @default.
- W4313304901 hasConcept C11252640 @default.
- W4313304901 hasConcept C114614502 @default.
- W4313304901 hasConcept C136119220 @default.
- W4313304901 hasConcept C136197465 @default.
- W4313304901 hasConcept C196956537 @default.
- W4313304901 hasConcept C202444582 @default.
- W4313304901 hasConcept C2776730729 @default.
- W4313304901 hasConcept C2780990831 @default.
- W4313304901 hasConcept C2781280181 @default.
- W4313304901 hasConcept C33923547 @default.
- W4313304901 hasConcept C3746008 @default.
- W4313304901 hasConcept C63549537 @default.
- W4313304901 hasConcept C78606066 @default.
- W4313304901 hasConceptScore W4313304901C105795698 @default.
- W4313304901 hasConceptScore W4313304901C11252640 @default.
- W4313304901 hasConceptScore W4313304901C114614502 @default.
- W4313304901 hasConceptScore W4313304901C136119220 @default.
- W4313304901 hasConceptScore W4313304901C136197465 @default.
- W4313304901 hasConceptScore W4313304901C196956537 @default.
- W4313304901 hasConceptScore W4313304901C202444582 @default.
- W4313304901 hasConceptScore W4313304901C2776730729 @default.
- W4313304901 hasConceptScore W4313304901C2780990831 @default.
- W4313304901 hasConceptScore W4313304901C2781280181 @default.
- W4313304901 hasConceptScore W4313304901C33923547 @default.
- W4313304901 hasConceptScore W4313304901C3746008 @default.
- W4313304901 hasConceptScore W4313304901C63549537 @default.
- W4313304901 hasConceptScore W4313304901C78606066 @default.
- W4313304901 hasLocation W43133049011 @default.
- W4313304901 hasOpenAccess W4313304901 @default.
- W4313304901 hasPrimaryLocation W43133049011 @default.
- W4313304901 hasRelatedWork W1571624878 @default.
- W4313304901 hasRelatedWork W2010371748 @default.
- W4313304901 hasRelatedWork W2067688212 @default.
- W4313304901 hasRelatedWork W2155830824 @default.
- W4313304901 hasRelatedWork W2732943595 @default.
- W4313304901 hasRelatedWork W2768338313 @default.
- W4313304901 hasRelatedWork W2949133410 @default.
- W4313304901 hasRelatedWork W3159780799 @default.
- W4313304901 hasRelatedWork W4300907312 @default.
- W4313304901 hasRelatedWork W4301746951 @default.
- W4313304901 isParatext "false" @default.
- W4313304901 isRetracted "false" @default.
- W4313304901 workType "article" @default.