Abstract
We complete the classification of positive rank gradings on Lie algebras of simple algebraic groups over an algebraically closed field 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.
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Supported by NSF grants DMS-0801177 and DMS-0854909. (Mark Reeder)
Supported by NSF grant DMS-0854909. (Jiu-Kang Yu)
Supported by NSF grant DMS-0901102. (Benedict H. Gross)
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Reeder, M., Levy, P., Yu, JK. et al. Gradings of positive rank on simple Lie algebras. Transformation Groups 17, 1123–1190 (2012). https://doi.org/10.1007/s00031-012-9196-3
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DOI: https://doi.org/10.1007/s00031-012-9196-3