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 Stanley (1988). It is also closely connected with the crystal bases for affine Lie algebras.
Read more about Young's Lattice: Definition, Significance, Properties, Dihedral Symmetry
Famous quotes containing the word young:
“Unfortunately the laughter of adults too often carries to the ears of the young the ring of ridicule, that annihilating enemy of human dignity. Like grownups, children enjoy participating in a joke and appreciate admiration of their wit and cleverness, but do not enjoy being the butt of the jokes”
—Leontine Young (20th century)