Giambelli's formula
In mathematics, Giambelli's formula, named after Giovanni Giambelli, expresses Schubert classes as determinants in terms of special Schubert classes. It states σ λ = det ( σ λ i + j − i ) 1 ≤ i , j ≤ r {\displaystyle \displaystyle \sigma _{\lambda }=\det(\sigma _{\lambda _{i}+j-i})_{1\leq i,j\leq r}} where σλ is the Schubert class of a partition λ.