Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials (Q1275428)
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scientific article; zbMATH DE number 1241235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials |
scientific article; zbMATH DE number 1241235 |
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Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials (English)
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31 May 1999
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This article contains some algebraic tools that can be used to make computations in the cohomology ring of Lagrangian flag manifolds, and Lagrangian degeneracy loci. The main tool is the study of several operators on a certain basis, which is orthonormal under a scalar product. This basis is useful in studying Schubert classes in Lagrangian manifolds. The article also contains some simple proofs of previously known results, for example of the Giambelli-type formula for maximal Lagrangian Schubert classes.
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Lagrangian flag manifolds
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Lagrangian degeneracy loci
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Schubert polynomials
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Giambelli-type formula
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0.90939784
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0.90033615
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0.89516735
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