Matches in SemOpenAlex for { <https://semopenalex.org/work/W3214791331> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W3214791331 abstract "We introduce a family of univariate polynomials indexed by integer partitions. At prime powers they count the number of subspaces in a finite vector space that transform under a regular diagonal matrix in a specified manner. At 1, they count set partitions with specified block sizes. At 0, they count standard tableaux of specified shape. At $-1$ they count standard shifted tableaux of a specified shape. These polynomials are generated by a new statistic on set partitions (called the interlacing number) as well as a polynomial statistic on standard tableaux. They allow us to express $q$-Stirling numbers of the second kind as sums over standard tableaux and as sums over set partitions. In a special case these polynomials coincide with those defined by Touchard in his study of crossings of chord diagrams." @default.
- W3214791331 created "2021-12-06" @default.
- W3214791331 creator A5081603407 @default.
- W3214791331 creator A5010353870 @default.
- W3214791331 date "2021-12-01" @default.
- W3214791331 modified "2023-09-27" @default.
- W3214791331 title "Set partitions, tableaux, and subspace profiles under regular split semisimple matrices." @default.
- W3214791331 cites W1525563334 @default.
- W3214791331 cites W1971843463 @default.
- W3214791331 cites W1972912363 @default.
- W3214791331 cites W1979504938 @default.
- W3214791331 cites W2026004935 @default.
- W3214791331 cites W2033422930 @default.
- W3214791331 cites W2041358961 @default.
- W3214791331 cites W2047602652 @default.
- W3214791331 cites W2056516158 @default.
- W3214791331 cites W2066648063 @default.
- W3214791331 cites W2075409074 @default.
- W3214791331 cites W2086048413 @default.
- W3214791331 cites W2086197284 @default.
- W3214791331 cites W2166578450 @default.
- W3214791331 cites W2319129493 @default.
- W3214791331 cites W2752853835 @default.
- W3214791331 cites W2963077372 @default.
- W3214791331 cites W3045686703 @default.
- W3214791331 cites W3100829177 @default.
- W3214791331 cites W3111814826 @default.
- W3214791331 hasPublicationYear "2021" @default.
- W3214791331 type Work @default.
- W3214791331 sameAs 3214791331 @default.
- W3214791331 citedByCount "0" @default.
- W3214791331 crossrefType "posted-content" @default.
- W3214791331 hasAuthorship W3214791331A5010353870 @default.
- W3214791331 hasAuthorship W3214791331A5081603407 @default.
- W3214791331 hasConcept C114614502 @default.
- W3214791331 hasConcept C118615104 @default.
- W3214791331 hasConcept C12362212 @default.
- W3214791331 hasConcept C130367717 @default.
- W3214791331 hasConcept C134306372 @default.
- W3214791331 hasConcept C202444582 @default.
- W3214791331 hasConcept C2524010 @default.
- W3214791331 hasConcept C32834561 @default.
- W3214791331 hasConcept C33923547 @default.
- W3214791331 hasConcept C42812 @default.
- W3214791331 hasConceptScore W3214791331C114614502 @default.
- W3214791331 hasConceptScore W3214791331C118615104 @default.
- W3214791331 hasConceptScore W3214791331C12362212 @default.
- W3214791331 hasConceptScore W3214791331C130367717 @default.
- W3214791331 hasConceptScore W3214791331C134306372 @default.
- W3214791331 hasConceptScore W3214791331C202444582 @default.
- W3214791331 hasConceptScore W3214791331C2524010 @default.
- W3214791331 hasConceptScore W3214791331C32834561 @default.
- W3214791331 hasConceptScore W3214791331C33923547 @default.
- W3214791331 hasConceptScore W3214791331C42812 @default.
- W3214791331 hasLocation W32147913311 @default.
- W3214791331 hasOpenAccess W3214791331 @default.
- W3214791331 hasPrimaryLocation W32147913311 @default.
- W3214791331 isParatext "false" @default.
- W3214791331 isRetracted "false" @default.
- W3214791331 magId "3214791331" @default.
- W3214791331 workType "article" @default.