The number of connected components in the double Bruhat cells for nonsimply-laced groups

2001/04/03 by Michael Gekhtman, Gekhtman, Michael, Michael Shapiro +3 · 1 citation
Mathematics · #05E15 #14N10 #20F55 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.AG #math.CO #math.RT #msc:05E15 #msc:14N10 #msc:20F55

paper · pdf · doi:10.48550/arxiv.math/0104036

minor corrections

openalex publication_date 2001/04/03 · arxiv created 2001/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the number of connected components in a generic real double Bruhat cell for series B_n and C_n and an exceptional group F₄.

Cited by

• Homotopy Type of Intersections of Real Bruhat Cells in Dimension 6

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• Connected components of real double Bruhat cells
• Homotopy Type of Intersections of Real Bruhat Cells in Dimension 6
• Double Bruhat cells and total positivity
• Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells
• Remarks on the homotopy type of intersections of two real Bruhat cells