Truncations of level 1 of elements in the loop group of a reductive group

@article{Viehmann2009TruncationsOL,
  title={Truncations of level 1 of elements in the loop group of a reductive group},
  author={E. Viehmann},
  journal={Annals of Mathematics},
  year={2009},
  volume={179},
  pages={1009-1040}
}
  • E. Viehmann
  • Published 2009
  • Mathematics
  • Annals of Mathematics
The aim of this article is to dene and study a new invariant of elements of loop groups that is invariant under -conjugation by a hyperspecial maximal open subgroup and that we call the truncation of level 1. We classify truncations of level 1 and describe their specialization behavior. Furthermore, we prove group-theoretic conditions for the set of -conjugacy classes obtained from elements of a given truncation of level 1 and in particular for the generic -conjugacy class in any given… Expand
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