Irreducible geometric subgroups of classical algebraic groups

DOI10.1090/memo/1130zbMath1376.20052arXiv1311.4062OpenAlexW2136199705MaRDI QIDQ3455229

Soumaïa Ghandour, Timothy C. Burness, Donna M. Testerman

Publication date: 4 December 2015

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

Full work available at URL: https://arxiv.org/abs/1311.4062

zbMATH Keywords

irreducible tripleclassical algebraic groupdisconnected maximal subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Simple groups (20E32) Representation theory for linear algebraic groups (20G05)

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Structure of certain Weyl modules for the spin groups ⋮ An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras ⋮ Irreducible almost simple subgroups of classical algebraic groups ⋮ Topological generation of exceptional algebraic groups ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights ⋮ Globally irreducible Weyl modules ⋮ On irreducible subgroups of simple algebraic groups ⋮ Restriction of irreducible modules for \(\mathrm{Spin}_{2n+1}(K)\) to \(\mathrm{Spin}_{2n}(K)\) ⋮ Generic stabilizers for simple algebraic groups

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