Homotopy groups of the spaces of self-maps of Lie groups

被引：4

作者：

Maruyama, Ken-ichi ^{[1
]}

Oshima, Hideaki ^{[2
]}

机构：

[1] Chiba Univ, Chiba 2638522, Japan

[2] Ibaraki Univ, Mito, Ibaraki 3108512, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2008年 / 60卷 / 03期

关键词：

function spaces; homotopy groups; Lie groups;

D O I：

10.2969/jmsj/06030767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the homotopy groups of the spaces of self maps of Lie groups of rank 2, SU(3), Sp(2), and G(2). We use the cell structures of these Lie groups and the standard methods of homotopy theory.

引用

页码：767 / 792

页数：26

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