Equivariance and extendibility in finite reductive groups with connected center
详细信息    查看全文
文摘
We show that several character correspondences for finite reductive groups $G$ are equivariant with respect to group automorphisms under the additional assumption that the linear algebraic group associated to $G$ has connected center. The correspondences we consider are the so-called Jordan decomposition of characters introduced by Lusztig and the generalized Harish-Chandra theory of unipotent characters due to BrouCMalleichel. In addition we consider a correspondence giving character extensions, due to the second author, in order to verify the inductive McKay condition from Isaacsalleavarro for the non-abelian finite simple groups of Lie types $^3\mathsf{D }_4,\mathsf{E }_8,\mathsf{F }_4,^2\mathsf{F }_4$ , and $\mathsf{G }_2$ .

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700