Double Bruhat cells and total positivity

被引：196

作者：

Fomin, S ^{[1
]}

Zelevinsky, A

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Northeastern Univ, Dept Math, Boston, MA 02115 USA

[3] MSRI, Berkeley, CA USA

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 12卷 / 02期

关键词：

total positivity; semisimple groups; Bruhat decomposition;

D O I：

10.1090/S0894-0347-99-00295-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：335 / 380

页数：46

共 24 条

[1] TOTALLY POSITIVE MATRICES [J].

ANDO, T .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 90 :165-219

[2]

[Anonymous], 1967, PUB MATH IHES

[3]

[Anonymous], PROGR MATH

[4]

Bell R. B., 1995, GROUPS REPRESENTATIO

[5] Total positivity in Schubert varieties [J].

Berenstein, A ;

Zelevinsky, A .

COMMENTARII MATHEMATICI HELVETICI, 1997, 72 (01) :128-166

[6]

Bourbaki N., 1968, Actualites Scientifiques et Industrielles, V1337

[7] COMBINATORICS AND TOTAL POSITIVITY [J].

BRENTI, F .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1995, 71 (02) :175-218

[8]

Cox DA, 1996, IDEALS VARIETIES ALG

[9]

Cryer C. W., 1973, Linear Algebra and Its Applications, V7, P83, DOI 10.1016/0024-3795(73)90039-6

[10] ON SOME GEOMETRIC ASPECTS OF BRUHAT ORDERINGS .1. A FINER DECOMPOSITION OF BRUHAT CELLS [J].

DEODHAR, VV .

INVENTIONES MATHEMATICAE, 1985, 79 (03) :499-511

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