Integer partitions | Lattice theory | Symmetric functions | Representation theory

Young's lattice

In mathematics, Young's lattice is 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 the 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. (Wikipedia).

Young's lattice
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Related pages

European Journal of Combinatorics | Group action | Crystal base | Triangular number | If and only if | Partially ordered set | Young–Fibonacci lattice | Affine Lie algebra | Representation theory of the symmetric group | Lattice (order) | Covering relation | Symmetric group | Distributive lattice | Hasse diagram | Bratteli diagram | Differential poset | Equivalence class | Characteristic (algebra) | Dihedral group | Mathematics | Incidence algebra | Young tableau | Bijection | Graded poset | Partition (number theory) | Algebraic combinatorics | Irreducible representation