Rights statement: The final publication is available at link.springer.com
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Gradings of positive rank on simple Lie algebras
AU - Reeder, Mark
AU - Levy, Paul
AU - Yu, Jiu-Kang
AU - Gross, Benedict
N1 - The final publication is available at link.springer.com
PY - 2012/12
Y1 - 2012/12
N2 - We complete the classication of positive rank gradings on Lie algebras ofsimple 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.
AB - We complete the classication of positive rank gradings on Lie algebras ofsimple 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.
U2 - 10.1007/s00031-012-9196-3
DO - 10.1007/s00031-012-9196-3
M3 - Journal article
VL - 17
SP - 1123
EP - 1190
JO - Transformation Groups
JF - Transformation Groups
SN - 1531-586X
IS - 4
ER -