In this paper we study some remarkable semisimple elements of an (extended) Chevalley group that are diagonalizable over the ground field - the 'weight elements'. In particular, we calculate the Bruhat decomposition of microweight elements. Results of the present paper are crucial for the description of overgroups of split maximal tori in Chevalley groups.

Original languageEnglish
Pages (from-to)387-430
Number of pages44
JournalSt. Petersburg Mathematical Journal
Volume24
Issue number3
DOIs
StatePublished - 16 May 2013

    Research areas

  • Borel orbits, Bruhat decomposition, Chevalley groups, Parabolic subgroups with extraspecial unipotent radical, Semisimple root elements

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

ID: 5416972