Classification of balanced toral elements of exceptional Lie algebras

DOI10.1016/J.JALGEBRA.2018.12.029zbMath1446.17021arXiv1705.10758OpenAlexW2964113402WikidataQ115350560 ScholiaQ115350560MaRDI QIDQ1727717

Floriana Amicone

Publication date: 20 February 2019

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

Full work available at URL: https://arxiv.org/abs/1705.10758

zbMATH Keywords

automorphismreductive algebraic groupexceptional simple Lie algebraKac coordinatestoral element

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45) Modular Lie (super)algebras (17B50)

Uses Software

• GAP
• GSL

Cites Work

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• Torsion automorphisms of simple Lie algebras
• Sub-principal homomorphisms in positive characteristic.
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras
• Invariants symétriques entiers des groupes de Weyl et torsion
• Induced nilpotent orbits of the simple Lie algebras of exceptional type
• Induced Unipotent Classes
• RIGID ORBITS AND SHEETS IN REDUCTIVE LIE ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC
• Jordan block sizes of unipotent elements in exceptional algebraic groups

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