Complete reducibility in good characteristic

DOI10.1090/tran/7085zbMath1460.20009arXiv1505.00939OpenAlexW2964345904MaRDI QIDQ4642511

Adam R. Thomas, Alastair J. Litterick

Publication date: 23 May 2018

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

Full work available at URL: https://arxiv.org/abs/1505.00939

zbMATH Keywords

Weyl moduleFrobenius endomorphismtilting moduleroot subgroupexceptional typegood prime\(G\)-completely reducibleconnected centraliser

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Exceptional groups (20G41) Structure theory for linear algebraic groups (20G07)

Related Items

Complete reducibility of subgroups of reductive algebraic groups over non-perfect fields. IV: An \(F_4\) example ⋮ Complete reducibility: variations on a theme of Serre ⋮ Irreducible \(A_1\) subgroups of exceptional algebraic groups ⋮ RELATIVE COMPLETE REDUCIBILITY AND NORMALIZED SUBGROUPS ⋮ Reducible subgroups of exceptional algebraic groups ⋮ Overgroups of regular unipotent elements in simple algebraic groups ⋮ Unipotent elements forcing irreducibility in linear algebraic groups ⋮ The Irreducible Subgroups of Exceptional Algebraic Groups

Uses Software

• Magma

Cites Work

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