Reduction theory over global fields

DOI10.1007/BF02830884zbMath0838.20057OpenAlexW2072837912MaRDI QIDQ1322372

T. A. Springer

Publication date: 4 July 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02830884

zbMATH Keywords

function fieldsnumber fieldsreductive groupsglobal fieldsfundamental setsreduction theoryGalois descentcompactness criterionsplit groups

Mathematics Subject Classification ID

Geometry of numbers (11H99) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (7)

Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups ⋮ Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem. ⋮ Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups. ⋮ The integral Novikov conjectures for \(S\)-arithmetic groups. I ⋮ Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic ⋮ Central morphisms and cuspidal automorphic representations ⋮ On the Siegel-Weil formula for classical groups over function fields

Cites Work

• Arithmetic subgroups of algebraic groups
• Questions of rationality for solvable algebraic groups over non-perfect fields
• Groupes reductifs
• Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
• On the compactness of arithmetically defined homogeneous spaces
• Minkowskische Reduktionstheorie über Funktionenkörpern
• Uniform instability in reductive groups.
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