Rational homotopy groups of generalised symmetric spaces

被引：6

作者：

Terzic, S ^{[1
]}

机构：

[1] Univ Munich, Inst Math, D-80333 Munich, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2003年 / 243卷 / 03期

关键词：

Mathematics Subject Classification (2000): 55P62, 22Exx, 22F30;

D O I：

10.1007/s00209-002-0461-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain explicit formulas for the rational homotopy groups of generalised symmetric spaces, i.e., the homogeneous spaces for which the isotropy subgroup appears as the fixed point group of some finite order automorphism of the group. In particular, this gives explicit formulas for the rational homotopy groups of all classical compact symmetric spaces.

引用

页码：491 / 523

页数：33

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