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Combinatorial object in representation theory
In mathematics, a Young tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus
Young_tableau
Monoid of all words in the alphabet of positive integers modulo Knuth equivalence
be identified with semistandard Young tableaux. It was discovered by Donald Knuth (1970) (who called it the tableau algebra), using an operation given
Plactic_monoid
Topics referred to by the same term
theorem proving in logic Tableau Software, a company providing tools for data visualization and business intelligence Young tableau, a combinatorial object
Tableau
Mathematical formula for the number of Young tableaux
_{k}} . A (standard) Young tableau of shape λ {\displaystyle \lambda } is a filling of the n {\displaystyle n} cells of the Young diagram with all the
Hook_length_formula
Representation of symmetric groups
The partition determines a Young diagram with n boxes. A Young tableau of shape λ is a way of labelling the boxes of this Young diagram by distinct numbers
Specht_module
Static scene containing one or more actors or models
A tableau vivant (French: [tablo vivɑ̃]; often shortened to tableau; pl. tableaux vivants; French for 'living picture') is a static scene containing one
Tableau_vivant
Sufficiently long sequences of numbers have long monotonic subsequences
correspondence associates to each sequence a Young tableau P whose entries are the values of the sequence. The tableau P has the following properties: The length
Erdős–Szekeres_theorem
Element of the group algebra of a symmetric group
an irreducible representation. The Young symmetrizers also act on the vector space of functions on Young tableau and the resulting representations are
Young_symmetrizer
relation on the set of skew standard Young tableaux. A jeu de taquin slide is a transformation where the numbers in a tableau are moved around in a way similar
Jeu_de_taquin
tableau (for instance there is a cyclic permutation the cycles the entries of the first row one place forward). A Young tabloid is an orbit of Young tableaux
Garnir_relations
Data structure
introduced by Ian Munro and Hendra Suwanda. A related data structure is the Young tableau. The height of the structure is approximately n {\displaystyle {\sqrt
Beap
Group of symmetries of an n-dimensional hypercube
_{2}} boxes in the second row, and so on. A standard Young tableau of shape λ is a filling of the Young diagram of λ with the numbers 1, 2, ..., | λ | {\displaystyle
Hyperoctahedral_group
Area of mathematics
{\displaystyle \mu } -index of a standard Young tableau be the sum of the values of b μ {\displaystyle b_{\mu }} over the tableau's descents, ind μ ( T ) = ∑ k ∈
Representation theory of the symmetric group
Representation_theory_of_the_symmetric_group
Number of ways to pair up n objects
monotonic chain of edges from top right to bottom left. A standard Young tableau is formed by placing the numbers from 1 to n into these squares in such
Telephone number (mathematics)
Telephone_number_(mathematics)
Discrete math concept
on Young tableaux) can be defined in terms of the dominance order on the Young diagrams. For a Young tableau T to dominate another Young tableau S, the
Dominance_order
Area of combinatorics
equal-sized complete graphs, and their complements, the Turán graphs. A Young tableau (pl.: tableaux) is a combinatorial object useful in representation theory
Algebraic_combinatorics
Mathematical rule
is the number of standard Young tableaux of shape ν/μ that are jeu de taquin equivalent to some fixed standard Young tableau of shape λ. cν λμ is the
Littlewood–Richardson_rule
(combinatorics) Core partition Ewens's sampling formula Ferrers graph Young tableau Glaisher's theorem Landau's function Multipartition Multiplicative partition
List_of_partition_topics
Lattice formed by all integer partitions
with the standard Young tableaux of shape p: the diagrams in the chain add the boxes of the diagram of the standard Young tableau in the order of their
Young's_lattice
1 then a semistandard Young tableau of weight μ {\displaystyle \mu } is a standard Young tableau; the number of standard Young tableaux of a given shape
Kostka_number
Representation of angular momentum tensor product states important to physics
eigenstates which diagonalizes the maximal set of commuting operators. A Young tableau (plural tableaux) is a method for decomposing products of an SU(N) group
Clebsch–Gordan coefficients for SU(3)
Clebsch–Gordan_coefficients_for_SU(3)
Type of mathematical generalization
exponential and binomial distributions. List of q-analogs Stirling number Young tableau Andrews, G. E., Askey, R. A. & Roy, R. (1999), Special Functions, Cambridge
Q-analog
Elements in representations of the symmetric group
constituting the basis of Young's "seminormal representation" are eigenvectors for the action of Xn. For any standard Young tableau U we have: X k v U = c
Jucys–Murphy_element
Visual representation of a mathematical relationship
color, scale or orientation may belong to the same group. A Young diagram or Young tableau, also called Ferrers diagram, is a finite collection of boxes
Mathematical_diagram
Generalization of Lie groups
2). In the case of S3 one usually labels this representation by the Young tableau λ = [ 2 , 1 ] {\displaystyle \lambda =[2,1]} and in the case of C 3
Schur_orthogonality_relations
Public school in Somerset, England
1873–1952, first class cricketer Alfred Young 1873–1940, mathematician and inventor of the Young diagram and Young tableau Lieutenant Colonel Richard Annesley
Monkton_Combe_School
State school in Moscow, Russia
and 80 students. The topics covered in the camp's course include the Young tableau, knot invariants and Schubert polynomials. Students who have the School
Moscow_State_School_57
Restricted representation Induced representation Peter–Weyl theorem Young tableau Spherical harmonic Hecke operator Representation theory of the symmetric
List of representation theory topics
List_of_representation_theory_topics
and Stephen J. Paddack Young diagram (a.k.a. Ferrers diagram), Young tableau – Alfred Young Young's modulus – Thomas Young Yule–Simpson effect (a.k
Scientific phenomena named after people
Scientific_phenomena_named_after_people
1876 painting by Gustave Caillebotte
Iconic Young Man at His Window". J. Paul Getty Museum. November 11, 2021. Retrieved July 20, 2025. Gatay, Tanguy (July 3, 2025). "Un tableau à 43 millions
Young_Man_at_His_Window
1911 ballet by Igor Stravinsky
scenic design, Stravinsky had written much of the music (chiefly the second tableau) before Benois became involved with the project. Petrushka begins with
Petrushka_(ballet)
Representations of finite groups, particularly on vector spaces
a Young tableau is a graphical device depicting a partition. The irreducible representation corresponding to such a partition (or Young tableau) is
Representation theory of finite groups
Representation_theory_of_finite_groups
Certain functors from the category of modules over a fixed commutative ring to itself
E an R-module and λ a partition of a positive integer n. Let T be a Young tableau of shape λ, thus indexing the factors of the n-fold direct product,
Schur_functor
Hotel and casino in Paradise, Nevada, US
Andrea. "Tableau". Condé Nast Traveler. Retrieved November 9, 2022. Radke, Brock (November 2, 2016). "The new fall menu at Wynn's Tableau deserves your
Wynn_Las_Vegas
Bijective correspondence in mathematics
constructs one tableau by successively inserting the values of the permutation according to a specific rule, while the other tableau records the evolution
Robinson–Schensted correspondence
Robinson–Schensted_correspondence
Number line and triangular tiling's symmetry mathematical structure
which entries are required to increase along rows (whereas standard Young tableau have entries that increase along rows and down columns). In other words
Affine_symmetric_group
American mathematician and violinist
"beautiful new results on the expected number of turns in a random Young tableau". She was named a Fellow of the American Mathematical Society, in the
Melody_Chan
Dutch painter (1872–1944)
front cover to Australian rock band Silverchair's fifth and final album Young Modern (2007) is a tribute to Piet Mondrian's Composition II in Red, Blue
Piet_Mondrian
no 6×6 orthogonal Graeco-Latin square is possible. Alfred Young introduces the Young tableau. English surgeon and ophthalmologist Edward Treacher Collins
1900_in_science
Union-closed sets conjecture Urn problems (probability) Vandermonde's identity Weighing matrices Weighted round robin Deficit round robin Young tableau
Index of combinatorics articles
Index_of_combinatorics_articles
2008 French card game
selected cards are then dealt face up. The minimum number of cards in the tableau for voting is five, from a three or four player game. Each player (except
Dixit_(board_game)
American soprano (1868–1944)
productions, Jenkins would cast herself as the main character in the final tableau, wearing an elaborate costume of her own design. In a widely republished
Florence_Foster_Jenkins
French-American painter, sculptor, and chess player (1887–1968)
1969 when the Philadelphia Museum of Art revealed Duchamp's Étant donnés tableau, The Large Glass was thought to have been his last major work. Duchamp's
Marcel_Duchamp
Concept in mathematics
using an algorithm called Schensted insertion, starting with an empty tableau and successively inserting the values σ1, ..., σn of the permutation σ
Robinson–Schensted–Knuth correspondence
Robinson–Schensted–Knuth_correspondence
Computational method in group theory
all border-strip tableaux of shape λ and type ρ. That is, each tableau T is a tableau such that the k-th row of T has λk boxes the boxes of T are filled
Murnaghan–Nakayama_rule
School of thought in economics
Georgist political movement that seeks to revive elements of physiocracy. The Tableau économique or Economic Table is an economic model first described by François
Physiocracy
American multidisciplinary artist
found his niche, designing and shooting tableau-vivants for four books; he left thousands of living tableau photographs and negatives unpublished. He
Steven_F._Arnold
American film director (born 1938)
He directed the 1990 film Romeo.Juliet and The Last Supper: The Living Tableau, a film recreation of Leonardo da Vinci's The Last Supper. Acosta’s career
Armondo_Linus_Acosta
Country primarily in Western Europe
"France par aire d'attraction des villes – Population municipale 2023 >> Tableau". Archived from the original on 29 January 2018. Retrieved 1 July 2026
France
2009 film directed by John Hillcoat
its searing intimacy does not," concluding that the film has "too much tableau and not enough acting." A review in Adbusters disapproved of the product
The_Road_(2009_film)
English indie rock band
Orielles - Tableau. Vinyl LP, CD. Heavenly Recordings". Heavenlyemporium.com. 7 October 2022. Retrieved 7 October 2022. "The Orielles - Tableau". Theoreilles
The_Orielles
1885 opera by Jules Massenet
de Gormas recount how the King is to make Rodrigue a knight, despite his young age. Gormas desires to be named the governor of the Infanta by the King
Le_Cid_(opera)
Small marsupial from southwestern Australia
Tastu. pp. 114–116. Lesson, R.-P. (1842). "Groupe: Setonix". Nouveau Tableau du Règne Animal: Mammifères. Paris: Arthus Bertrand. p. 194. Groves, C
Quokka
Holiday on the day before Ash Wednesday
place in 1833 with Bernard de Marigny funding the first organized parade, tableau, and ball. The tradition in New Orleans expanded to the point that it became
Mardi_Gras
Species of arthropod
Lamarck, Jean-Baptiste (1801). Systême des animaux sans vertèbres; ou, Tableau général des classes, des classes, des orres et des genres de ces animaux
Scutigera_coleoptrata
Somali-born American model and actress (born 1955)
46. Retrieved 18 January 2016. Krivoshey, Bethsabée (5 November 2015). "Tableau de chasse - Les célèbres conquêtes de Warren Beatty - Iman Mohamed". Vanity
Iman_(model)
American actor and comedian (born 1963)
"Paris Olympics organizers say they meant no disrespect with 'Last Supper' tableau". Associated Press. July 28, 2024. Retrieved October 5, 2024. "S.F. comedian
Rob_Schneider
Overseas collectivity of France
Economiques" (in French). Retrieved 9 November 2024. STSEE. "Recensement 2018 - Tableau Pop_06_6: Population selon le sexe, la langue la plus couramment parlée
Wallis_and_Futuna
American actor (1924–2004)
the Beatles' 1967 album Sgt. Pepper's Lonely Hearts Club Band, among a tableau of celebrities and historical figures. Brando's films, along with those
Marlon_Brando
2011 film
The Painting (French: Le Tableau) is a 2011 French animated film directed by Jean-François Laguionie. For mysterious reasons, a painter has left a work
The_Painting_(2011_film)
One-piece, skin-tight garment made of knitted or stretch material
stocking was used in a tableau vivant style short film The Birth of the Pearl (1901), which featured an unnamed long-haired young model wearing a flesh-coloured
Bodystocking
American filmmaker (born 1942)
substituted for a trance-like meditation achieved through an elaborate tableau of colorful visual images. The film was a source of turmoil for its distributor
Martin_Scorsese
French actor (born 1966)
actor. He first became known in his homeland for his role as Jules in Tableau d'honneur (1992) and as Renaud Lepic in the TV series Fais pas ci, fais
Guillaume_de_Tonquédec
New Orleans Mardi Gras Carnival krewe
parade with few interruptions from 1856 to 1991, and continues to hold a tableau ball for its members and guests, to date. Initially its public facade was
Mistick_Krewe_of_Comus
Card game
under the foundations. This is the tableau and the cards remaining in the hand form the stock. Cards on the tableau are packed in descending order and
Canfield_(solitaire)
1992 film by Bigas Luna
comforts Raúl. A shepherd arrives with his flock of sheep, recreating a tableau from Silvia's dreams. Stefania Sandrelli as Conchita Anna Galiena as Carmen
Jamón_jamón
Films that present sexually explicit subject matter
The Kiss (1900). A tableau vivant style was used in short film Birth of The Pearl [cy] (1901) featuring an unnamed long-haired young model wearing a flesh-colored
Pornographic_film
List of characters in the Dexter franchise
what they started", seeking new acolytes in the Dorseys to complete the tableau of "Wormwood", a poison gas attack. He also is determined to locate Holly
List_of_Dexter_characters
British fashion designer (1969–2010)
were outfits made out of razor clam and mussel shells. The centre piece tableau that dominated the show was an enormous dark glass box within a larger
Alexander_McQueen
Genus of birds
ympev.2015.01.013. PMID 25701771. Lacépède, Bernard Germain de (1799). "Tableau des sous-classes, divisions, sous-division, ordres et genres des oiseux"
Harrier_(bird)
used. tableau vivant (pl. tableaux vivants, often shortened as tableau) in drama, a scene where actors remain motionless as if in a picture. Tableau means
Glossary of French words and expressions in English
Glossary_of_French_words_and_expressions_in_English
1997 film by Curtis Hanson
Oppewall's crisp, meticulous production design produce an eye-popping tableau of '50s glamour and sleaze." In his review for The New York Observer, Andrew
L.A._Confidential_(film)
French physician, Physiocratic economist, and orientalist (1694–1774)
physician of the Physiocratic school. He is known for publishing the "Tableau économique" (Economic Table) in 1758, which provided the foundations of
François_Quesnay
2012 Indian film by Anurag Kashyap
and notes that "On the surface, Gangs of Wasseypur is a revenge saga, a tableau of vengeance between generations of gangsters. Scratch that surface and
Gangs_of_Wasseypur
1967 studio album by the Beatles
on 21 April. The cover, which depicts the Beatles posing in front of a tableau of celebrities and historical figures, was designed by the pop artists
Sgt. Pepper's Lonely Hearts Club Band
Sgt._Pepper's_Lonely_Hearts_Club_Band
French classical scholar, decipherer of Egyptian hieroglyphs (1790–1832)
first public paper on the decipherment of Demotic in his late teens. As a young man he was renowned in scientific circles, and read Coptic, Ancient Greek
Jean-François_Champollion
1859 novel by Charles Dickens
The Castle Spector by Matthew Lewis; Travels in France by Arthur Young; and Tableau de Paris by Louis-Sébastien Mercier. Dickens also used material from
A_Tale_of_Two_Cities
with one spot. A 'one'. arm A single straight line of tiles within the tableau. McLeod specifies that it only has one open end. back The broad surface
Glossary_of_domino_terms
Anime film by Mamoru Hosoda
(November 7, 2025). "Mamoru Hosoda Discusses His Epic Animated Revenge Tableau 'Scarlet' (Exclusive)". Animation Magazine. Retrieved January 8, 2026.
Scarlet_(2025_film)
State of humans wearing no clothing
photograph in National Geographic of a woman with bare breasts (1896) Tableau Vivant by Olga Desmond (c. 1908): Performers posing motionless on stage
Nudity
School in Adelaide, Australia
Parkside on what became Young Street, named after the headmaster. E. S. Hughes recalled, in a letter to The Advertiser, a tableau of life during his time
Adelaide Educational Institution
Adelaide_Educational_Institution
Card game
amount of buildings with the corresponding color they have built into their tableau (i.e. personal playing field). Characters are then reshuffled and a new
Citadels_(card_game)
2009 American film by Zack Snyder
hollow and disjointed; the actors moving stiffly from one overdetermined tableau to another," said Noah Berlatsky of the Chicago Reader. David Edelstein
Watchmen_(2009_film)
Province of Canada
2022. Gouvernement du Canada, Statistique Canada (February 9, 2022). "Tableau de profil, Profil du recensement, Recensement de la population de 2021"
Quebec
French actor (1935–2024)
solitude d’un fauve, Laurent Allen-Caron, 2019. Alain Delon, l'ombre au tableau, Daisy d'Errata, Karl Zéro, 2021. Romy et Alain, les éternels fiancés,
Alain_Delon
Painting by Caravaggio
foreground suggests a fifth participant, implicitly including the viewer in the tableau. Caravaggio seems to have composed the painting from studies of two figures
The_Musicians_(Caravaggio)
Italian painter (1571–1610)
29 June 2019. Retrieved 10 November 2021. "Toulouse : où est passé le tableau de Caravage vendu 110 millions de dollars ?". La Dépêche du Midi. 4 October
Caravaggio
Genus of birds
hawk to defend young". telegraph.co.uk. 2009-10-30. ISSN 0307-1235. Retrieved 2018-10-25. Lacépède, Bernard Germain de (1799). "Tableau des sous-classes
Kingbird
Photograph by Jeff Wall
Reinvigoration of the 'Western Tableau': Some Notes on Jeff Wall and Duchamp", p. 83 Newman, "Towards the Reinvigoration of the 'Western Tableau': Some Notes on Jeff
Picture_for_Women
Early 18th-century English theatre
forgiveness and repentance. Steele's The Conscious Lovers (1722) hinges upon his young hero avoiding fighting a duel. These plays set up a new set of values for
Augustan_drama
Professional network website
Luc (February 8, 2016). "CEOs, venture backers lose big as LinkedIn, Tableau shares tumble". Reuters. Archived from the original on June 20, 2017. Retrieved
On-demand cloud computing provider
company. They included Jeff Lawson, the Twilio CEO; Adam Selipsky, the Tableau CEO; and Mikhail Seregine, a co-founder at Outschool. In late 2003, the
Amazon_Web_Services
Genus of birds
(Louchart et al. 2005). Lesson, René (1831). Traité d'Ornithologie, ou Tableau Méthodique (in French). Vol. 1. Paris: F.G. Levrault. p. 583 (Livraison
Leptoptilos
American artist (born 1963)
B000025TGE Witchcraft/Boots, concept, double cover design & photographic tableau of Nikolas Schreck for Witchcraft side (photo of Zeena for Boots side by
Zeena_Schreck
the 21st century. Effacer le tableau North Kivu, Democratic Republic of the Congo 2002 2003 60,000 70,000 Effacer le tableau ("erasing the board") was the
List_of_genocides
State in northwestern India
time, overseas migration became increasingly prominent, particularly among young people seeking higher education and employment, strengthening Punjab's links
Punjab,_India
French painter (1840–1926)
experience at Giverny, paid homage to Monet's works created there with Tableau Vert (1952). Monet has been called an "intermediary" between tradition
Claude_Monet
1919 ballet by Claude Debussy
boite (The toy-box asleep) Tableau 1: Le magasin de jouets (The toy shop) Valse: Danse de la poupée (The doll's waltz) Tableau 2: Le champ de bataille (The
La_boîte_à_joujoux
Russian composer and pianist (1873–1943)
which he later arranged for orchestra. Étude-Tableau in E-flat minor Karine Gilanyan performing Étude-Tableau in E-flat minor, Op. 39, No. 5 "Vocalise" transcribed
Sergei_Rachmaninoff
European gymnastics organization
was a member of the Czech cause. Most founders were also members of the Young Czechs party, the most influential including Prince Rudolf von Thurn-Taxis
Sokol_movement
travel, tourism, insurance
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