On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilizers

DOI10.1112/S1461157016000103zbMath1390.17027arXiv1508.02918MaRDI QIDQ2818781

David I. Stewart

Publication date: 8 September 2016

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02918

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Exceptional (super)algebras (17B25) Lie algebras of linear algebraic groups (17B45) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (8)

Representatives for unipotent classes and nilpotent orbits ⋮ A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Adjoint Jordan blocks for simple algebraic groups of type \(C_{\ell}\) in characteristic two ⋮ Jordan blocks of nilpotent elements in some irreducible representations of classical groups in good characteristic ⋮ The Restricted Ermolaev Algebra and F₄ ⋮ Classification of the maximal subalgebras of exceptional Lie algebras over fields of good characteristic ⋮ Generic stabilizers for simple algebraic groups ⋮ A new maximal subgroup of 𝐸₈ in characteristic 3

Cites Work

• Unnamed Item
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Varieties of nilpotent elements for simple Lie algebras. II: Bad primes.
• On the smoothness of centralizers in reductive groups
• Complete reducibility and separability
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• On the structure of parabolic subgroups

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