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

Michael Gekhtman; Michael Shapiro; Alek Vainshtein

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

Algebraic Geometry 2007-05-23 v2 Combinatorics Representation Theory

Authors: Michael Gekhtman , Michael Shapiro , Alek Vainshtein

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 $F_4$ .

Keywords

double Bruhat cells connected components nonsimply-laced groups B_n C_n F_4

Cite

@article{arxiv.math/0104036,
  title  = {The number of connected components in the double Bruhat cells for nonsimply-laced groups},
  author = {Michael Gekhtman and Michael Shapiro and Alek Vainshtein},
  journal= {arXiv preprint arXiv:math/0104036},
  year   = {2007}
}