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Статья

Schubert calculus and Gelfand-Zetlin polytopes

Russian Mathematical Surveys. 2012. Vol. 67. No. 4. P. 685-719.

A new approach is described to the Schubert calculus on complete flag varieties, using the volume polynomial associated with Gelfand- Zetlin polytopes. This approach makes it possible to compute the intersection products of Schubert cycles by intersecting faces of a polytope. Bibliography: 23 titles.