FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1726889056> ?p ?o ?g. }

• W1726889056 abstract "For every finite graded poset $P$ with $hat{0}$ and $hat{1}$ we associate a certain formal power series $F_P(x) = F_P(x_1,x_2,dots)$ which encodes the flag $f$-vector (or flag $h$-vector) of $P$. A relative version $F_{P/Gamma}$ is also defined, where $Gamma$ is a subcomplex of the order complex of $P$. We are interested in the situation where $F_P$ or $F_{P/Gamma}$ is a symmetric function of $x_1,x_2,dots$. When $F_P$ or $F_{P/Gamma}$ is symmetric we consider its expansion in terms of various symmetric function bases, especially the Schur functions. For a class of lattices called $q$-primary lattices the Schur function coefficients are just values of Kostka polynomials at the prime power $q$, thus giving in effect a simple new definition of Kostka polynomials in terms of symmetric functions. We extend the theory of lexicographically shellable posets to the relative case in order to show that some examples $(P,Gamma)$ are relative Cohen-Macaulay complexes. Some connections with the representation theory of the symmetric group and its Hecke algebra are also discussed." @default.
• W1726889056 created "2016-06-24" @default.
• W1726889056 creator A5079674634 @default.
• W1726889056 date "1995-05-26" @default.
• W1726889056 modified "2023-09-30" @default.
• W1726889056 title "Flag-symmetric and Locally Rank-symmetric Partially Ordered Sets" @default.
• W1726889056 cites W1527908630 @default.
• W1726889056 cites W1557033434 @default.
• W1726889056 cites W1565240535 @default.
• W1726889056 cites W1599997798 @default.
• W1726889056 cites W1963521086 @default.
• W1726889056 cites W1975549371 @default.
• W1726889056 cites W1982899022 @default.
• W1726889056 cites W1985177626 @default.
• W1726889056 cites W2009190506 @default.
• W1726889056 cites W2013502334 @default.
• W1726889056 cites W2015050395 @default.
• W1726889056 cites W2054802601 @default.
• W1726889056 cites W2062537955 @default.
• W1726889056 cites W2072173760 @default.
• W1726889056 cites W2077309624 @default.
• W1726889056 cites W2082205190 @default.
• W1726889056 cites W2083882790 @default.
• W1726889056 cites W2134984950 @default.
• W1726889056 cites W2165125983 @default.
• W1726889056 cites W2486012592 @default.
• W1726889056 cites W2914471578 @default.
• W1726889056 cites W2914659449 @default.
• W1726889056 doi "https://doi.org/10.37236/1264" @default.
• W1726889056 hasPublicationYear "1995" @default.
• W1726889056 type Work @default.
• W1726889056 sameAs 1726889056 @default.
• W1726889056 citedByCount "26" @default.
• W1726889056 countsByYear W17268890562012 @default.
• W1726889056 countsByYear W17268890562013 @default.
• W1726889056 countsByYear W17268890562016 @default.
• W1726889056 countsByYear W17268890562021 @default.
• W1726889056 crossrefType "journal-article" @default.
• W1726889056 hasAuthorship W1726889056A5079674634 @default.
• W1726889056 hasBestOaLocation W17268890561 @default.
• W1726889056 hasConcept C101044782 @default.
• W1726889056 hasConcept C10138342 @default.
• W1726889056 hasConcept C10628310 @default.
• W1726889056 hasConcept C114614502 @default.
• W1726889056 hasConcept C128622974 @default.
• W1726889056 hasConcept C129010115 @default.
• W1726889056 hasConcept C134306372 @default.
• W1726889056 hasConcept C136119220 @default.
• W1726889056 hasConcept C143669375 @default.
• W1726889056 hasConcept C146922319 @default.
• W1726889056 hasConcept C156903151 @default.
• W1726889056 hasConcept C159254197 @default.
• W1726889056 hasConcept C162324750 @default.
• W1726889056 hasConcept C164226766 @default.
• W1726889056 hasConcept C171686973 @default.
• W1726889056 hasConcept C174072685 @default.
• W1726889056 hasConcept C177274530 @default.
• W1726889056 hasConcept C180645754 @default.
• W1726889056 hasConcept C182306322 @default.
• W1726889056 hasConcept C184992742 @default.
• W1726889056 hasConcept C202444582 @default.
• W1726889056 hasConcept C21736991 @default.
• W1726889056 hasConcept C2776730729 @default.
• W1726889056 hasConcept C33923547 @default.
• W1726889056 hasConcept C3746008 @default.
• W1726889056 hasConcept C43562168 @default.
• W1726889056 hasConcept C52153879 @default.
• W1726889056 hasConcept C64338288 @default.
• W1726889056 hasConcept C78136718 @default.
• W1726889056 hasConcept C78540521 @default.
• W1726889056 hasConcept C86607863 @default.
• W1726889056 hasConcept C90119067 @default.
• W1726889056 hasConceptScore W1726889056C101044782 @default.
• W1726889056 hasConceptScore W1726889056C10138342 @default.
• W1726889056 hasConceptScore W1726889056C10628310 @default.
• W1726889056 hasConceptScore W1726889056C114614502 @default.
• W1726889056 hasConceptScore W1726889056C128622974 @default.
• W1726889056 hasConceptScore W1726889056C129010115 @default.
• W1726889056 hasConceptScore W1726889056C134306372 @default.
• W1726889056 hasConceptScore W1726889056C136119220 @default.
• W1726889056 hasConceptScore W1726889056C143669375 @default.
• W1726889056 hasConceptScore W1726889056C146922319 @default.
• W1726889056 hasConceptScore W1726889056C156903151 @default.
• W1726889056 hasConceptScore W1726889056C159254197 @default.
• W1726889056 hasConceptScore W1726889056C162324750 @default.
• W1726889056 hasConceptScore W1726889056C164226766 @default.
• W1726889056 hasConceptScore W1726889056C171686973 @default.
• W1726889056 hasConceptScore W1726889056C174072685 @default.
• W1726889056 hasConceptScore W1726889056C177274530 @default.
• W1726889056 hasConceptScore W1726889056C180645754 @default.
• W1726889056 hasConceptScore W1726889056C182306322 @default.
• W1726889056 hasConceptScore W1726889056C184992742 @default.
• W1726889056 hasConceptScore W1726889056C202444582 @default.
• W1726889056 hasConceptScore W1726889056C21736991 @default.
• W1726889056 hasConceptScore W1726889056C2776730729 @default.
• W1726889056 hasConceptScore W1726889056C33923547 @default.
• W1726889056 hasConceptScore W1726889056C3746008 @default.
• W1726889056 hasConceptScore W1726889056C43562168 @default.
• W1726889056 hasConceptScore W1726889056C52153879 @default.
• W1726889056 hasConceptScore W1726889056C64338288 @default.

• next