An Algebraic Cell Decomposition of the Nonnegative Part of a Flag Variety

Konstanze Rietsch

Type: Article

Publication Date: 1999-03-01

Citations: 64

DOI: https://doi.org/10.1006/jabr.1998.7665

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Locations

Journal of Algebra - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (64)

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+ PDF Chat	Product structure and regularity theorem for totally nonnegative flag varieties	2024	Huanchen Bao Xuhua He
+	Sign variation, the Grassmannian, and total positivity	2016	Steven N. Karp
+	Regularity theorem for totally nonnegative flag varieties	2021	Pavel Galashin Steven N. Karp Thomas Lam
+ PDF Chat	Total positivity for the Lagrangian Grassmannian	2020	Rachel Karpman
+	The totally nonnegative Grassmannian is a ball	2017	Pavel Galashin Steven N. Karp Thomas Lam
+	Parametrizations of flag varieties	2003	Bethany Marsh Konstanze Rietsch
+	Toric Poisson Ideals in Cluster Algebras	2010	Sebastian Zwicknagl
+	Total positivity, Grassmannians, and networks	2006	Alexander Postnikov
+	Cluster structures on strata of flag varieties	2014	Bernard Leclerc
+	Cluster structures on strata of flag varieties	2016	Bernard Leclerc

Works Cited by This (6)

Action	Title	Year	Authors
+	Total Positivity in Reductive Groups	1994	G. Lusztig
+	Introduction to Quantum Groups	2010	G. Lusztig
+	Representations of Coxeter groups and Hecke algebras	1979	David Kazhdan G. Lusztig
+	On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells	1985	Vinay V. Deodhar
+	Introduction to total positivity	1998	G. Lusztig
+	Lie theory and geometry : in honor of Bertram Kostant	1994	Jean-Luc Brylinski Ranee Brylinski Victor Guillemin Victor G. Kač