Pseudo-reductive Groups

DOI10.1017/CBO9781316092439zbMath1314.20037OpenAlexW3010514251MaRDI QIDQ4982247

Gopal Prasad, Brian Conrad, Ofer Gabber

Publication date: 24 March 2015

Full work available at URL: https://doi.org/10.1017/cbo9781316092439

zbMATH Keywords

function fieldslinear algebraic groupsreductive groupsunipotent radicalsCartan subgroupsBruhat decompositionsWeil restrictioninseparable extensionsabsolutely simple groupsimperfect fieldsconjugacy theoremssmooth connected affine groups

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over global fields and their integers (20G30) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Linear algebraic groups over local fields and their integers (20G25) Other algebraic groups (geometric aspects) (14L40) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Affine algebraic groups, hyperalgebra constructions (14L17) Structure theory for linear algebraic groups (20G07)

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