The size of characters of exceptional lie groups

Journal of the Australian Mathematical Society

Kathryn E. Hare¹ 

[1] Karen Yeats

关键词: primary 22E46;    secondary 43A80;    43A65;   

DOI  :  10.1017/S1446788700013604

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Pointwise bounds for characters of representations of the compact, connected, simple, exceptional Life groups are obtained. It is a classical result that if μ is a central, continuous measure on such a group, then μdimG is absolutely continuous. Our estimates on the size of characters allow us to prove that the exponent, dimension of G, can be replaced by approximately the rank of G. Similar results were obtained earlier for the classical, compact Lie groups.

【 授权许可】

Unknown