A Cartan decomposition for \(p\)-adic loop groups

DOI10.1007/BF01444491zbMath0837.22013MaRDI QIDQ1893228

Howard Garland

Publication date: 13 May 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165327

zbMATH Keywords

Chevalley groupLaurent seriesCartan decomposition\(p\)-adic fieldmaximal split torus\(p\)-adic loop groupssimply-laced root system

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items

Combinatorics in affine flag varieties, Iwahori-Hecke algebras for \(p\)-adic loop groups, Groupes de Kac-Moody déployés n corps local II. Masures ordonnées, Kac-Moody groups, hovels and Littelmann paths, On structure constants of Iwahori-Hecke algebras for Kac-Moody groups, The arithmetic theory of loop groups. II: The Hilbert-modular case, EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS, Eisenstein series on loop groups

Cites Work

• The arithmetic theory of loop groups
• Lie algebra homology and the Macdonald-Kac formulas
• The arithmetic theory of loop algebras
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras
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