Finding Characters Satisfying a Maximal Condition for Their Unipotent Support
arXiv:1211.2551 · doi:10.1016/j.jpaa.2013.06.016
Abstract
In this article we extend independent results of Lusztig and Hézard concerning the existence of irreducible characters of finite reductive groups, (defined in good characteristic and arising from simple algebraic groups), satisfying a strong numerical relationship with their unipotent support. Along the way we obtain some results concerning quasi-isolated semisimple elements.
35 pages; changes from (v2): added an index of notation and added a new part to the main theorem (Theorem 2.11)