The closure diagram for nilpotent orbits of the split real form of 𝐸₇

DOI10.1090/S1088-4165-01-00124-8zbMath1050.17007OpenAlexW1872661085MaRDI QIDQ2761184

Dragomir Ž. Djoković

Publication date: 17 December 2001

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-01-00124-8

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46)

Related Items (6)

An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations ⋮ The closure diagram for nilpotent orbits of the split real form of \(E_8\) ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Orbit closure diagram for the space of quadruples of quinary alternating forms ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Irreducible components of the nilpotent commuting variety of a symmetric semisimple Lie algebra

Uses Software

• Maple
• LiE

Cites Work

• The closure diagram for nilpotent orbits of the real form EIX of \(E_ 8\).
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers
• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• Explicit Cayley triples in real forms of \(E_ 7\).
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Closure ordering and the Kostant-Sekiguchi correspondence
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