About: Kostka number

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Kostka number Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatSymmetricFunctions, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FKostka_number&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, the Kostka number Kλμ (depending on two integer partitions λ and μ) is a non-negative integer that is equal to the number of semistandard Young tableaux of shape λ and weight μ. They were introduced by the mathematician Carl Kostka in his study of symmetric functions.

Attributes	Values
rdf:type	yago:WikicatNumbers yago:Abstraction100002137 yago:Amount105107765 yago:Attribute100024264 yago:Function113783816 yago:Magnitude105090441 yago:MathematicalRelation113783581 yago:Number105121418 yago:Property104916342 yago:Relation100031921 yago:WikicatSymmetricFunctions
rdfs:label	Nombre de Kostka (fr) Kostka number (en)
rdfs:comment	In mathematics, the Kostka number Kλμ (depending on two integer partitions λ and μ) is a non-negative integer that is equal to the number of semistandard Young tableaux of shape λ and weight μ. They were introduced by the mathematician Carl Kostka in his study of symmetric functions. (en) En mathématiques, le nombre de Kostka , paramétré par deux partition d'un entier et , est un entier naturel qui est égal au nombre de tableaux de Young semi-standard de forme et de poids . Ils ont été introduits par le mathématicien Carl Kostka dans ses études des fonctions symétriques. (fr)
foaf:depiction
dcterms:subject	Symmetric functions Integer sequences
Wikipage page ID	22606041 (xsd:integer)
Wikipage revision ID	923224546 (xsd:integer)
Link from a Wikipage to another Wikipage	Schur polynomial Representation theory Ring of symmetric functions Non-negative integer Dominance order Mathematics General linear group Crelle's Journal Combinatorics Composition (combinatorics) Kostka polynomial Symmetric functions Irreducible representation Linear combination Integer sequences Partition (number theory) Carl Kostka Weight space (representation theory) Young diagram Semistandard Young tableaux Hook-length formula dbr:Permutation_module dbr:Yamanouchi_tableau
Link from a Wikipage to an external page	http://gdz.sub.uni-goettingen.de/no_cache/dms/load/img/%3FIDDOC=259790 https://archive.today/20121211053838/http:/www.oup.com/uk/catalogue/%3Fci=9780198504504 http://www.oup.com/uk/catalogue/%3Fci=9780198504504
sameAs	Kostka number Kostka number Kostka number Kostka number Kostka number
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Dead_link dbt:Harvtxt dbt:Reflist
thumbnail	wiki-commons:Special:FilePath/Semistandard_Young_tableaux_of_shape_(3,_2)_and_weight_(1,_1,_2,_1).png?width=300
authorlink	Bruce Sagan (en)
bot	InternetArchiveBot (en)
date	May 2019 (en)
first	Bruce E. (en)
fix-attempted	yes (en)
id	s/s120040 (en)
last	Sagan (en)
title	Schur functions in algebraic combinatorics (en)
has abstract	En mathématiques, le nombre de Kostka , paramétré par deux partition d'un entier et , est un entier naturel qui est égal au nombre de tableaux de Young semi-standard de forme et de poids . Ils ont été introduits par le mathématicien Carl Kostka dans ses études des fonctions symétriques. Par exemple, si et , le nombre de Kostka compte le nombre de manières de remplir une collection de 5 cellules alignée à gauche, avec 3 cellules dans la première ligne et 2 dans la seconde, et contenant une fois les entiers 1 et 2, deux fois l'entier 3 et une fois l'entier 4. De plus, les entiers doivent être strictement croissants en colonne, et faiblement croissants en ligne. Les trois tableaux possibles sont montrés sur la figure, et on a donc . (fr) In mathematics, the Kostka number Kλμ (depending on two integer partitions λ and μ) is a non-negative integer that is equal to the number of semistandard Young tableaux of shape λ and weight μ. They were introduced by the mathematician Carl Kostka in his study of symmetric functions. For example, if λ = (3, 2) and μ = (1, 1, 2, 1), the Kostka number Kλμ counts the number of ways to fill a left-aligned collection of boxes with 3 in the first row and 2 in the second row with 1 copy of the number 1, 1 copy of the number 2, 2 copies of the number 3 and 1 copy of the number 4 such that the entries increase along columns and do not decrease along rows. The three such tableaux are shown at right, and K(3, 2) (1, 1, 2, 1) = 3. (en)
gold:hypernym	Integer
prov:wasDerivedFrom	wikipedia-en:Kostka_number?oldid=923224546&ns=0
page length (characters) of wiki page	7160 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Kostka_number
is Link from a Wikipage to another Wikipage of	Schur polynomial Robinson–Schensted–Knuth correspondence Kostka Kostka polynomial Carl Kostka Hook length formula Kostka coefficient Kostka matrix Kostka numbers
is Wikipage redirect of	Kostka coefficient Kostka matrix Kostka numbers
is Wikipage disambiguates of	Kostka
is foaf:primaryTopic of	wikipedia-en:Kostka_number

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 60 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software