Gradings of positive rank on simple Lie algebras
Identifieur interne : 000186 ( Main/Exploration ); précédent : 000185; suivant : 000187Gradings of positive rank on simple Lie algebras
Auteurs : Mark Reeder [États-Unis] ; Paul Levy [Royaume-Uni] ; Jiu-Kang Yu [États-Unis] ; Benedict H. Gross [États-Unis]Source :
- Transformation Groups [ 1083-4362 ] ; 2012-12-01.
Abstract
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.
Url:
DOI: 10.1007/s00031-012-9196-3
Affiliations:
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We also classify the stable gradings and prove Popov’s conjecture on the existence of a Kostant section.</div></front></TEI><affiliations><list><country><li>Royaume-Uni</li><li>États-Unis</li></country><region><li>Indiana</li><li>Massachusetts</li></region><settlement><li>Cambridge (Massachusetts)</li></settlement><orgName><li>Université Harvard</li></orgName></list><tree><country name="États-Unis"><region name="Massachusetts"><name sortKey="Reeder, Mark" sort="Reeder, Mark" uniqKey="Reeder M" first="Mark" last="Reeder">Mark Reeder</name></region><name sortKey="Gross, Benedict H" sort="Gross, Benedict H" uniqKey="Gross B" first="Benedict H." last="Gross">Benedict H. Gross</name><name sortKey="Gross, Benedict H" sort="Gross, Benedict H" uniqKey="Gross B" first="Benedict H." last="Gross">Benedict H. 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