Giambelli's formula
Encyclopedia
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
where σλ is the Schubert class of a partition
λ.
Giambelli's formula is a consequence of Pieri's formula
.
Giovanni Giambelli
Giovanni Zeno Giambelli was a mathematician who is best known for Giambelli's formula.-External links:*...
, expresses Schubert classes in terms of special Schubert classes, or Schur functions in terms of complete symmetric functions.
It states
where σλ is the Schubert class of a partition
Partition (number theory)
In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered to be the same partition; if order matters then the sum becomes a...
λ.
Giambelli's formula is a consequence of Pieri's formula
Pieri's formula
In mathematics, Pieri's formula, named after Mario Pieri, describes the product of a Schubert cycle by a special Schubert cycle in the Schubert calculus, or the product of a Schur polynomial by a complete symmetric function....
.