Total positivity in Schubert varieties

被引：83

作者：

Berenstein, A ^{[1
]}

Zelevinsky, A ^{[1
]}

机构：

[1] NORTHEASTERN UNIV,DEPT MATH,BOSTON,MA 02115

来源：

关键词：

total positivity; semisimple Lie groups; Schubert varieties; Bruhat decomposition;

D O I：

10.1007/PL00000363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the results of [2] on totally positive matrices to totally positive elements in arbitrary semisimple groups.

引用

页码：128 / 166

页数：39

共 11 条

Berenstein, A ;

Fomin, S ;

Zelevinsky, A .

[2]

BERENSTEIN A, 1996, GROUP LIKE ELEMENTS

[3]

Bourbaki N., 1975, Groupes et Algebres de Lie, VII, VIII

[4]

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

[5]

Fulton W., 2004, REPRESENT THEOR, V129

[6]

Humphreys J.E., 1994, REFLECTION GROUPS CO

[7]

LECLERC B, 1996, QUASICOMMUTING FAMIL

[8]

LUSZTIG G, 1992, PROGR MATH, V105, P49

[9]

Lusztig G., 1993, Introduction to Quantum Groups

[10]

LUSZTIG G, TOTAL POSITIVITY CAN