Representatives for unipotent classes and nilpotent orbits

DOI10.1080/00927872.2021.1986519OpenAlexW3213832074MaRDI QIDQ5061607

Adam R. Thomas, Mikko Korhonen, David I. Stewart

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/2105.04347

zbMATH Keywords

algebraic groupsLie algebrasnilpotent orbitsunipotent classes

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Linear algebraic groups and related topics (20G99) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (1)

Adjoint Jordan blocks for simple algebraic groups of type \(C_{\ell}\) in characteristic two

Uses Software

• GAP
• Magma

Cites Work

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• Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two
• Regular elements of semisimple algebraic groups
• Some arithmetical results on semi-simple Lie algebras
• On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilizers
• Centres of centralizers of unipotent elements in simple algebraic groups

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