Quadratic action and the natural module for \(SL_ 2(k)\)

DOI10.1016/0021-8693(89)90280-9zbMath0688.20023OpenAlexW2007337648MaRDI QIDQ1263674

Stephen D. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90280-9

zbMATH Keywords

simple modulesquadratic modulesirreducible linear groups generated by transvection subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (5)

Symmetric powers of \(\mathrm{Nat SL}(2,\mathbb{K})\) ⋮ Locally quadratic modules and minuscule representations ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ Changes to a theorem of Timmesfeld. I: Quadratic actions. ⋮ A characterization of \(SL_ 2(k)\) by its quadratic action on the natural module

Cites Work

• Another look at Thompson's quadratic pairs
• A Sufficient Condition for p -Stability
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