Total positivity in Schubert varieties
type: Item
instance of: scholarly article
title: Total positivity in Schubert varieties
zbMATH Open document ID: 0891.20030
DOI: 10.1007/PL00000363
author: Arkady Berenstein
author: Andrei Zelevinsky
published in: Commentarii Mathematici Helvetici
publication date: 1997-12-08T00:00:00Z
review text: 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).
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 1029356
zbMATH Keywords: complex semisimple Lie algebras
zbMATH Keywords: varieties of totally positive elements
zbMATH Keywords: Schubert cells
zbMATH Keywords: semisimple complex Lie groups
zbMATH Keywords: canonical bases
zbMATH Keywords: quantized universal enveloping algebras
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
full work available at URL: pl00000363
OpenAlex ID: W2023570387
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description: scientific article; zbMATH DE number 1029356