On the homotopy type of the classifying space of the exceptional Lie group F4
On the homotopy type of the classifying space of the exceptional Lie group F4
复制标题
例外李群F4分类空间的同伦型
DOI：
10.1007/s002290200250
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
A. Viruel
中科院分区：
文献类型：
--
作者：
A. Vavpetic;A. Viruel
几位作者以前的工作表明，秩为4的例外李群F4，作为ap-紧群，在p> 2时，由它的极大环面正规化子的同构类型决定同构。本文考虑casep= 2的情形，证明了F4是2-紧群也是由它的极大环面正规化子的同构型决定的。这使作者能够确定F4的积分同伦型之间的连接有限环空间的极大环面。
Previous work of several authors shows that the exceptional Lie group of rank 4,F4, as ap-compact group, is determined up to isomorphism by the isomorphism type of its maximal torus normalizer forp> 2. This paper considers the casep= 2 proving thatF4as 2-compact group is also determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows the authors to determine the integral homotopy type ofF4among connected finite loop spaces with maximal tori.