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Young tableau

In mathematics, a Young tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.

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Overview

Definitions

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Applications in representation theory

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Map overview Semantic statistics

Young tableau

Nodes68
Edges67
Triples123
Avg. degree1.97
Density0.029412
Components1

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Young tableau

Top relations

related to References · 73
Young tableau → Advances, Albert, Alexander, American Mathematical Society, Amsterdam, Applications, Archived, Birdtracks, Bruce, Cambridge University Press, Curtis, Degeneracy Loci, Discrete Mathematics, Edition, Elsevier, EMS PressYong, Encyclopedia, Exceptional Groups, February, Fulton
related to overview · 11
Young tableau → French, Knuth, Lascoux, Many, Robinson, Schensted, Schur, Schützenberger, Schützenberger's, Various, Young
related to External links · 9
Young tableau → Archived, Eric, Ferrers Diagram, FindStat, From MathWorld, Semistandard, Wayback Machine, Weisstein, Wolfram Web Resource
has application · 8
Young tableau → Below, GLn, In, Many, SLn, SUn, They, Young
related to Skew tableaux · 8
Young tableau → Although, Any, If, Macdonald, The, This, While, Young
related to Tableaux · 6
Young tableau → In, Originally, Recording, The, Thus, Young
related to Dimension of a representation · 5
Young tableau → By, Sn, The, This, Young

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Important terminology

young tableaux diagram representation tableau partition number symmetric boxes shape irreducible group representations skew theory entries diagrams row semistandard standard

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
domino tableaux or ribbon tableauxinstance ofThere are also generalizations0.80text
in which several boxes may be grouped together before assigning entries to them.Skew tableauxA skew shape is a pair of partitionsinstance ofThere are also generalizations0.80text
in which several boxes may be grouped together before assigning entries to theminstance ofThere are also generalizations0.80text
Young tableauhas applicationYoung0.60section
Young tableauhas applicationThey0.60section
Young tableauhas applicationMany0.60section
Young tableauhas applicationBelow0.60section
Young tableauhas applicationIn0.60section
Young tableauhas applicationGLn0.60section
Young tableauhas applicationSLn0.60section
Young tableauhas applicationSUn0.60section
Young tableaurelated to Dimension of a representationThe0.60section

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