Giambelli's Formula
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 :\displaystyle \sigma_\lambda= \det(\sigma_)_ 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. See also * Schubert calculus In mathematics, Schubert calculus is a branch of algebraic geometry introduced in the nineteenth century by Hermann Schubert, in order to solve various counting problems of projective geometry (part of enumerative geometry). It was a precursor of ... - includes examples References * * Symmetric functions {{algebraic-geometry-stub ...
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Giovanni Giambelli
Giovanni Zeno Giambelli (June 29, 1879 – December 31, 1953) was an Italian mathematician who is best known for Giambelli's formula. References External links Giovanni Zeno Giambelli bio
1879 births 1935 deaths 20th-century Italian mathematicians {{Italy-mathematician-stub ...
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