A simple proof of Pommerening's theorem.

DOI10.1016/j.jalgebra.2008.04.028zbMath1157.20024OpenAlexW2071026422MaRDI QIDQ950227

Takehisa Tsujii

Publication date: 22 October 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.028

zbMATH Keywords

algebraic groupsnilpotent elementsLie algebrasBala-Carter theoremKempf-Rousseau theoryPommerening theorem

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

The Hesselink stratification of nullcones and base change.

Cites Work

• Über die unipotenten Klassen reduktiver Gruppen. II
• Über die unipotenten Klassen reduktiver Gruppen
• Instability in invariant theory
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• Nilpotent orbits over ground fields of good characteristic
• Affine Coset Spaces of Reductive Algebraic Groups
• Uniform instability in reductive groups.
• Linear algebraic groups.
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