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1 results

  • Isocrystals with additional structure. II

  • ROBERT E. KOTTWITZ
  • Journal:
    Compositio Mathematica / Volume 109 / Issue 3 / December 1997
    Published online by Cambridge University Press:
    04 December 2007, pp. 255-339
    Print publication:
    December 1997
    • Article
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  • Let $F$ be a $p$-adic field, let $L$ be the completion of a maximal unramified extension of $F$, and let $\sigma$ be the Frobenius automorphism of $L$ over $F$. For any connected reductive group $G$ over $F$ one denotes by $B(G)$ the set of $\sigma$-conjugacy classes in $G(L)$ (elements $x,y$ in $G(L)$ are said to be $\sigma$-conjugate if there exists $g$ in $G(L)$ such that $g^-1 \kappa \sigma(g)=y$. One of the main results of this paper is a concrete description of the set $B(G)$ (previously this was known only in the quasi-split case).