Truncations of level 1 of elements in the loop group of a reductive group
Truncations of level 1 of elements in the loop group of a reductive group
The aim of this article is to define and study a new invariant of elements of loop groups that is invariant under σ-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 …