The nullcone of the Lie algebra of \(G_2\)

DOI10.1016/j.indag.2019.03.001zbMath1481.17029OpenAlexW2921086092WikidataQ115351955 ScholiaQ115351955MaRDI QIDQ2422270

Wim H. Hesselink

Publication date: 18 June 2019

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2019.03.001

zbMATH Keywords

stratificationsingularitysimple group\(G_2\)nilpotent

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Lie algebras of linear algebraic groups (17B45)

Related Items

\(S_3\)-permutation orbifolds of Virasoro vertex algebras ⋮ Jet schemes, quantum dilogarithm and Feigin-Stoyanovsky's principal subspaces ⋮ On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type \(G_2, F_4\), and \(E_6\)

Cites Work

• Unipotent elements in small characteristic. III. (With an appendix with T. Xue).
• Unipotent elements in small characteristic. IV.
• Triality, characteristic classes, \(D_4\) and \(G_2\) singularities
• Desingularizations of varieties of nullforms
• Instability in invariant theory
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• The Hesselink stratification of nullcones and base change.
• Some arithmetical results on semi-simple Lie algebras
• Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
• Invariants symétriques entiers des groupes de Weyl et torsion
• Varieties of nilpotent elements for simple Lie algebras. II: Bad primes.
• Semisimple subalgebras of semisimple Lie algebras
• A Stratification of the Null Cone Via the Moment Map
• Singularities in the Nilpotent Scheme of a Classical Group
• Uniform instability in reductive groups.
• Geometric Invariant Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item