Algorithm for multiplying Schubert classes

Mathematics – Algebraic Geometry

Scientific paper

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21 pages; 10 tables

Scientific paper

Based on the multiplicative rule of Schubert classes obtained in [Du3], we
present an algorithm computing the product of two arbitrary Schubert classes.
As a result, the algorithm gives also a method to compute the integral
cohomology ring of a flag manifold independent of the classical spectral
sequence technique due to Leray and Borel.

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