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Home > Research > Publications & Outputs > Gradings of positive rank on simple Lie algebras
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Gradings of positive rank on simple Lie algebras

Research output: Contribution to journalJournal article

Published

  • Mark Reeder
  • Paul Levy
  • Jiu-Kang Yu
  • Benedict Gross
Journal publication date12/2012
JournalTransformation Groups
Journal number4
Volume17
Number of pages68
Pages1123-1190
Early online date9/08/12
Original languageEnglish

Abstract

We complete the classication of positive rank gradings on Lie algebras of
simple algebraic groups over an algebraically closed eld k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov's conjecture on the existence of a Kostant section.

Bibliographic note

The final publication is available at link.springer.com