• Corpus ID: 119553932

Groupes de Kac-Moody d\'eploy\'es sur un corps local, II Masures ordonn\'ees

@article{Rousseau2010GroupesDK,
  title={Groupes de Kac-Moody d\'eploy\'es sur un corps local, II Masures ordonn\'ees},
  author={Guy Rousseau},
  journal={arXiv: Group Theory},
  year={2010}
}
  • G. Rousseau
  • Published 1 September 2010
  • Mathematics
  • arXiv: Group Theory
For a split Kac-Moody group (in J. Tits' definition) over a field endowed with a real valuation, we build an ordered affine hovel on which the group acts. This construction generalizes the one already done by S. Gaussent and the author when the residue field contains the complex field [Annales Fourier, 58 (2008), 2605-2657] and the one by F. Bruhat and J. Tits when the group is reductive. We prove that this hovel has all properties of ordered affine hovels (masures affines ordonn\'ees) as… 
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In 2014, Braverman, Kazhdan, Patnaik and Bardy-Panse, Gaussent and Rousseau associated Iwahori-Hecke algebras to Kac-Moody groups over non-Archimedean local fields. In a previous paper, we defined…
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