Total positivity in Schubert varieties (Q1359441)
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scientific article; zbMATH DE number 1029356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total positivity in Schubert varieties |
scientific article; zbMATH DE number 1029356 |
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Total positivity in Schubert varieties (English)
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8 December 1997
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This paper concerns the study of the varieties of totally positive elements in Schubert cells for an arbitrary semisimple complex Lie group \(G\). These varieties were introduced by G. Lusztig. The interest in the study of these varieties stems from their relationship with the canonical bases for the quantized universal enveloping algebras (of complex semisimple Lie algebras).
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complex semisimple Lie algebras
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varieties of totally positive elements
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Schubert cells
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semisimple complex Lie groups
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canonical bases
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quantized universal enveloping algebras
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0.95064247
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0.9392668
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0.92796016
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0.9220759
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0.9176378
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0.9176344
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0.9159994
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0.9074209
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0.9067061
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