Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\) (Q912178)
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scientific article; zbMATH DE number 4144164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\) |
scientific article; zbMATH DE number 4144164 |
Statements
Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\) (English)
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1990
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[For part VIII of this series see ibid. 108, 435-471 (1988; Zbl 0618.14027).] This is another paper in the long series of papers on standard monomial theory. For the groups \(SO(2n)\) an explicit description is obtained of the singular loci of Schubert varieties. Among the applications is a characterization of those Schubert varieties which are equal to the set of \(\sigma\)-invariants of their counterparts for \(SL(2n\)), \(\sigma\) being the involution of \(SL(2n)\) defining \(SO(2n)\).
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standard monomial theory
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singular loci of Schubert varieties
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0.8797667
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0.85600704
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0.8418953
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0.83961445
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0.8359107
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0.8325622
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