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

Michael Gekhtman; Michael Shapiro; Alek Vainshtein

doi:10.1090/S0002-9939-02-06604-2

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

Michael Gekhtman
, Michael Shapiro
, Alek Vainshtein

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	731-739
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-02-06604-2
State	Published - Mar 2003

Keywords

Coxeter graphs
Double Bruhat cells
Groups generated by transvections

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-02-06604-2

Cite this

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title = "The number of connected components in double Bruhat cells for nonsimply-laced groups",

abstract = "We compute the number of connected components in a generic real double Bruhat cell for series Bn and Cn and an exceptional group F4.",

keywords = "Coxeter graphs, Double Bruhat cells, Groups generated by transvections",

author = "Michael Gekhtman and Michael Shapiro and Alek Vainshtein",

year = "2003",

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doi = "10.1090/S0002-9939-02-06604-2",

language = "English",

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T1 - The number of connected components in double Bruhat cells for nonsimply-laced groups

AU - Gekhtman, Michael

AU - Shapiro, Michael

AU - Vainshtein, Alek

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Y1 - 2003/3

N2 - We compute the number of connected components in a generic real double Bruhat cell for series Bn and Cn and an exceptional group F4.

AB - We compute the number of connected components in a generic real double Bruhat cell for series Bn and Cn and an exceptional group F4.

KW - Coxeter graphs

KW - Double Bruhat cells

KW - Groups generated by transvections

UR - https://www.scopus.com/pages/publications/0037374315

U2 - 10.1090/S0002-9939-02-06604-2

DO - 10.1090/S0002-9939-02-06604-2

M3 - Article

AN - SCOPUS:0037374315

SN - 0002-9939

VL - 131

SP - 731

EP - 739

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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