Neha Patil (Editor)

Giambelli's formula

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In mathematics, Giambelli's formula, named after Giovanni Giambelli, expresses Schubert classes in terms of special Schubert classes, or Schur functions in terms of complete symmetric functions.

It states

σ λ = det ( σ λ i + j i ) 1 i , j r

where σλ is the Schubert class of a partition λ.

Giambelli's formula is a consequence of Pieri's formula. The Porteous formula is a generalization to morphisms of vector bundles over a variety.

References

Giambelli's formula Wikipedia