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:
“There’ll be that crowd, that barbarous crowd, through all the centuries,
And who can say but some young belle may walk and talk men wild
Who is my beauty’s equal, though that my heart denies,
But not the exact likeness, the simplicity of a child,
And that proud look as though she had gazed into the burning sun....”
—William Butler Yeats (1865–1939)