Young's lattice
In mathematics, Young's lattice is a partially ordered set and a lattice that is formed by all integer partitions. It is named after Alfred Young, who, in a series of papers On quantitative substitutional analysis, developed representation theory of the symmetric group. In Young's theory, the objects now called Young diagrams and the partial order on them played a key, even decisive, role. Young's lattice prominently figures in algebraic combinatorics, forming the simplest example of a differential poset in the sense of . It is also closely connected with the crystal bases for affine Lie algebras.
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Young's lattice
In mathematics, Young's lattice is a partially ordered set and a lattice that is formed by all integer partitions. It is named after Alfred Young, who, in a series of papers On quantitative substitutional analysis, developed representation theory of the symmetric group. In Young's theory, the objects now called Young diagrams and the partial order on them played a key, even decisive, role. Young's lattice prominently figures in algebraic combinatorics, forming the simplest example of a differential poset in the sense of . It is also closely connected with the crystal bases for affine Lie algebras.
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En matemáticas, el retículo de ...... mente conectado con las para .
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En mathématiques, et notamment ...... e des algèbres de Lie affines.
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In mathematics, Young's lattic ...... bases for affine Lie algebras.
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数学において、ヤング束は全ての自然数の分割からなる束である。 ...... 。そして、アフィンリー代数の結晶基底とも密接に関連している。
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Conventional diagram with partitions of the same rank at the same height
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Diagram showing dihedral symmetry
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The portion of Young's lattice lying below 1 + 1 + 1 + 1, 2 + 2 + 2, 3 + 3, and 4
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En matemáticas, el retículo de ...... mente conectado con las para .
@es
En mathématiques, et notamment ...... e des algèbres de Lie affines.
@fr
In mathematics, Young's lattic ...... bases for affine Lie algebras.
@en
数学において、ヤング束は全ての自然数の分割からなる束である。 ...... 。そして、アフィンリー代数の結晶基底とも密接に関連している。
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Retículo de Young
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Treillis de Young
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Young's lattice
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ヤング束
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