A skew tableau is a filling of the boxes remaining when the Ferrers diagram of a partition is removed from that of a partition
containing it. Its shape is denoted
. A semistandard skew tableau has positive
integer entries weakly increasing along rows and strictly increasing down columns.
Its content records how often each entry occurs. A standard skew tableau uses each
of 1, 2, ...,
exactly once, with entries strictly increasing along rows and down columns. The empty
inner partition gives an ordinary Young
tableau (Macdonald 1995).
Littlewood-Richardson coefficients count certain semistandard skew tableaux with a lattice-word condition.